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Data publikacji: 25 maja 2024

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1

Kang, Seok-Jin, i Kyu-Hwan Lee, red. Combinatorial and Geometric Representation Theory. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/conm/325.

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2

Kazuhiko, Koike, i Nihon Sūgakkai, red. Combinatorial methods in representation theory. Tokyo: Published for the Mathematical Society of Japan by Kinokuniya, 2000.

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3

Japan) Conference "Expansion of Combinatorial Representation Theory" (2007 Kyoto. New trends in combinatorial representation theory. Kyoto: Research Institute for Mathematical Sciences, Kyoto University, 2009.

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4

Conference "Combinatorial Representation Theory and Related Topics" (2006 Kyoto, Japan). Combinatorial representation theory and related topics. Kyoto: Research Institute for Mathematical Sciences, Kyoto University, 2008.

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5

Kyōto Daigaku. Sūri Kaiseki Kenkyūjo. Kenkyū Shūkai. Topics in combinatorial representation theory: October 11-14, 2011. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2012.

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6

A, Kaimanovich Vadim, i Lodkin A. 1945-, red. Representation theory, dynamical systems, and asymptotic combinatorics. Providence, R.I: American Mathematical Society, 2006.

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7

Seok-Jin, Kang, i Lee Kyu-Hwan 1970-, red. Combinatorial and geometric representation theory: An international conference on combinatorial and geometric representation theory, October 22-26, 2001, Seoul National University, Seoul, Korea. Providence, R.I: American Mathematical Society, 2003.

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8

Chari, Vyjayanthi, Jacob Greenstein, Kailash Misra, K. Raghavan i Sankaran Viswanath, red. Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory. Providence, Rhode Island: American Mathematical Society, 2013. http://dx.doi.org/10.1090/conm/602.

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9

India) International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory (2010 Bangalore. Recent developments in algebraic and combinatorial aspects of representation theory: International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA. Redaktorzy Chari, Vyjayanthi, editor of compilation i Conference on Algebraic and Combinatorial Approaches to Representation Theory (2012 : Riverside, Calif.). Providence, Rhode Island: American Mathematical Society, 2013.

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10

1959-, Ariki Susumu, red. Algebraic groups and quantum groups: International Conference on Representation Theory of Algebraic Groups and Quantum Groups, August 2-6, 2010, Nagoya University, Nagoya, Japan. Providence, R.I: American Mathematical Society, 2012.

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11

Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications (2009 : North Carolina State University), Southeastern Lie Theory Conference on Homological Methods in Representation Theory (2010 : University of Georgia) i Southeastern Lie Theory Workshop: Finite and Algebraic Groups (2011 : University of Virginia), red. Recent developments in Lie algebras, groups, and representation theory: 2009-2011 Southeastern Lie Theory Workshop series : Combinatorial Lie Theory and Applications, October 9-11, 2009, North Carolina State University : Homological Methods in Representation Theory, May 22-24, 2010, University of Georgia : Finite and Algebraic Groups, June 1-4, 2011, University of Virginia. Providence, Rhode Island: American Mathematical Society, 2012.

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12

1945-, Schmidt E. M., i Skyum Sven 1946-, red. Algorithm theory-- SWAT '94: 4th Scandinavian Workshop on Algorithm Theory, Aarhus, Denmark, July 6-8, 1994, proceedings. Berlin: Springer-Verlag, 1994.

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13

Katcher, Pollatsek Harriet Suzanne, red. Difference sets: Connecting algebra, combinatorics and geometry. Providence, Rhode Island: American Mathematical Society, 2013.

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14

Barthélemy, Jean-Pierre. Trees and proximity representations. Chichester: Wiley, 1991.

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15

Arkady, Berenstein, i Retakh Vladimir, red. Noncommutative birational geometry, representations and combinatorics: AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA. Providence, Rhode Island: American Mathematical Society, 2013.

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16

Hu, Jianxun, Changzheng Li i Leonardo C. Mihalcea, red. Schubert Calculus and Its Applications in Combinatorics and Representation Theory. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7451-1.

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17

Yoshiyuki, Koga, red. Representation theory of the Virasoro algebra. London: Springer, 2011.

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18

Polcino, Milies César, red. Groups, algebras and applications: XVIII Latin American Algebra Colloquium, August 3-8, 2009, São Pedro, SP, Brazil. Providence, R.I: American Mathematical Society, 2011.

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19

Bhattacharya, Siddhartha, Tarun Das, Anish Ghosh i Riddhi Shah. Recent trends in ergodic theory and dynamical systems: International conference in honor of S.G. Dani's 65th birthday, December 26--29, 2012, Vadodara, India. Providence, Rhode Island: American Mathematical Society, 2015.

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20

Gdanskiy, Nikolay, Yu Korablin i I. Blagoveschenskiy. Discrete mathematics: applied methods of set theory, counting and representation of information and mathematical logic. ru: INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1414881.

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Streszczenie:
The textbook presents in the most simplified form the basic theoretical provisions of set theory, number representation, combinatorics and mathematical logic, as well as ways to solve practical problems using their methods. A large number of examples are considered. There are also questions for self-control of the level of knowledge and tasks for self-solution. Meets the requirements of the federal state educational standards of higher education of the latest generation. For undergraduate and graduate students in the field of Computer Science and Computer Engineering, as well as students of other fields studying information technology. Also, the manual can be used by young specialists from the IT field in independently eliminating gaps in certain sections of discrete mathematics.
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21

Germany) International Conference on Finite Fields and Applications (11th 2013 Magdeburg. Topics in finite fields: 11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany. Redaktorzy Kyureghyan Gohar 1974 editor, Mullen Gary L. editor i Pott Alexander 1961 editor. Providence, Rhode Island: American Mathematical Society, 2015.

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22

Iohara, Kenji. Symmetries, Integrable Systems and Representations. London: Springer London, 2013.

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23

Elementary transcendental representations with applications to solids and fluids. Boca Raton: CRC Press, 2012.

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24

M, Gelʹfand I., Gindikin S. G, Lepowsky J i Wilson Robert L. 1946-, red. Functional analysis on the eve of the 21st century. Boston: Birkhäuser, 1995.

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25

Tao, Terence. Expansion in finite simple groups of Lie type. Providence, Rhode Island: American Mathematical Society, 2015.

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26

New developments in Lie theory and its applications: Seventh workshop in Lie theory and its applications, November 26-December 1, 2000, Cordoba, Argentina. Providence, R.I: American Mathematical Society, 2011.

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27

Alladi, Krishnaswami, Frank Garvan i Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. Providence, Rhode Island: American Mathematical Society, 2014.

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28

Conference on Hopf Algebras and Tensor Categories (2011 University of Almeria). Hopf algebras and tensor categories: International conference, July 4-8, 2011, University of Almería, Almería, Spain. Redaktorzy Andruskiewitsch Nicolás 1958-, Cuadra Juan 1975- i Torrecillas B. (Blas) 1958-. Providence, Rhode Island: American Mathematical Society, 2013.

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29

Prasad, Amritanshu. Representation Theory. Cambridge University Press, 2014.

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30

Prasad, Amritanshu. Representation Theory: A Combinatorial Viewpoint. Cambridge University Press, 2014.

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31

Representation Theory: A Combinatorial Viewpoint. University of Cambridge ESOL Examinations, 2015.

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32

Combinatorial Methods in Representation Theory (Advanced Studies in Pure Mathematics). Amer Mathematical Society, 2001.

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33

(Editor), Erik M. Schmidt, i Sven Skyum (Editor), red. Algorithm Theory - SWAT '94: 4th Scandianvian Workshop on Algorithm Theory, Aarhus, Denmark, July 6-8, 1994. Proceedings (Lecture Notes in Computer Science). Springer, 1994.

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34

Interaction of Combinatorics and Representation Theory. Tokyo, Japan: The Mathematical Society of Japan, 2001. http://dx.doi.org/10.2969/msjmemoirs/011010000.

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35

Kaimanovich, V., i A. Lodkin. Representation Theory, Dynamical Systems, and Asymptotic Combinatorics. American Mathematical Society, 2011.

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36

Sagan, Bruce E. Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions. Springer London, Limited, 2013.

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37

Sagan, Bruce E. The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions. Springer, 2010.

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38

Smith, Stephen D. Subgroup Complexes. Amer Mathematical Society, 1997.

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39

Brown, Justin, i V. Lakshmibai. Flag Varieties: An Interplay of Geometry, Combinatorics, and Representation Theory. Hindustan Book Agency, 2018.

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40

Iohara, Kenji, i Yoshiyuki Koga. Representation Theory of the Virasoro Algebra. Springer, 2012.

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41

Iohara, Kenji, i Yoshiyuki Koga. Representation Theory of the Virasoro Algebra. Springer, 2011.

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42

Topics in Hyperplane Arrangements. American Mathematical Society, 2017.

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43

Aluffi, Paolo, David Anderson, Milena Hering, Mircea Mustaţă i Sam Payne, red. Facets of Algebraic Geometry. Cambridge University Press, 2022. http://dx.doi.org/10.1017/9781108877831.

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Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
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44

Aluffi, Paolo, David Anderson, Milena Hering, Mircea Mustaţă i Sam Payne, red. Facets of Algebraic Geometry. Cambridge University Press, 2022. http://dx.doi.org/10.1017/9781108877855.

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Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
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45

Sagan, Bruce E. The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Second Edition (Graduate Texts in Mathematics). Springer, 2001.

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46

Egan, Frances. Representationalism. Redaktorzy Eric Margolis, Richard Samuels i Stephen P. Stich. Oxford University Press, 2012. http://dx.doi.org/10.1093/oxfordhb/9780195309799.013.0011.

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The article gives an overview of several distinct theses demonstrating representationalism in cognitive science. Strong representationalism is the view that representational mental states have a specific form, in particular, that they are functionally characterizable relations to internal representations. The proponents of strong representationalism typically suggest that the system of internal representations constitutes a language with a combinatorial syntax and semantics. Braddon-Mitchell and Jackson argued that mental representations might be more analogous to maps than to sentences. Waskan argued that mental representations are akin to scale models. Fodor and Fodor and Pylyshyn argued that certain pervasive features of thought can only be explained by the hypothesis that thought takes place in a linguistic medium. A physical symbol system (PSS) hypothesis is a version of strong representationalism, the idea that representational mental states are functionally characterizable relations to internal representations. The representational content has a significant role in computational models of cognitive capacities. The internal states and structures posited in computational theories of cognition are distally interpreted in such theories. The distal objects and properties that determine the representational content of the posited internal states and structures serve to type-individuate a computationally characterized mechanism. Strong Representationalism, as exemplified by the PSS hypothesis, construes mental processes as operations on internal representations.
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47

Hu, Jianxun, Changzheng Li i Leonardo C. Mihalcea. Schubert Calculus and Its Applications in Combinatorics and Representation Theory: Guangzhou, China, November 2017. Springer Singapore Pte. Limited, 2020.

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48

Hu, Jianxun, Changzheng Li i Leonardo C. Mihalcea. Schubert Calculus and Its Applications in Combinatorics and Representation Theory: Guangzhou, China, November 2017. Springer Singapore Pte. Limited, 2021.

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49

Marseken, Susan F., Miriam T. Timpledon i Lambert M. Surhone, red. Ring of Symmetric Functions: Algebra, Algebraic Combinatorics, Symmetric Polynomial, Representation Theory of the Symmetric Group, Polynomial Ring, Elementary Symmetric Polynomial, Newton's Identities. Betascript Publishers, 2010.

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50

Saliola, Franco, Benjamin Steinberg i Stuart Margolis. Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry. American Mathematical Society, 2021.

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