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Books on the topic 'Abelian structures'

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Published: 28 September 2024

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1

Borceux, Francis. Handbook of categorical algebra 2: Categories and structures. Cambridge [England]: Cambridge University Press, 1994.

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2

Marszałek, Roman. Galois module structure of the group of units of real Abelian fields. Opole: Wydawnictwo Uniwersytetu Opolskiego, 2011.

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3

Heyer, Herbert. Structural aspects in the theory of probability. 2nd ed. New Jersey: World Scientific, 2009.

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4

Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. Providence, Rhode Island: American Mathematical Society, 2015.

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5

Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Edited by Ellwood D. (David) 1966- and Previato Emma. Providence, RI: American Mathematical Society, 2011.

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6

J, Sally Paul. Fundamentals of mathematical analysis. Providence, Rhode Island: American Mathematical Society, 2013.

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7

Simon, Barry. Operator theory. Providence, Rhode Island: American Mathematical Society, 2015.

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8

Loth, Peter, and Carol Jacoby. Abelian Groups: Structures and Classifications. De Gruyter, Inc., 2019.

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9

Loth, Peter, and Carol Jacoby. Abelian Groups: Structures and Classifications. de Gruyter GmbH, Walter, 2019.

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10

Loth, Peter, and Carol Jacoby. Abelian Groups: Structures and Classifications. de Gruyter GmbH, Walter, 2019.

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11

Bullones, Marco A. P. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Chapman and Hall/CRC, 2016. http://dx.doi.org/10.4324/9781315370552.

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12

Bullones, Marco A. P. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Taylor & Francis Group, 2016.

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13

Bullones, Marco A. P. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Taylor & Francis Group, 2016.

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14

Bullones, Marco A. P. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Taylor & Francis Group, 2016.

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15

Bullones, Marco A. P. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Taylor & Francis Group, 2016.

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16

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions. Taylor & Francis Group, 2016.

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17

Pridham, J. P. Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting. American Mathematical Society, 2016.

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18

Heyer, Herbert. Structural Aspects in the Theory of Probability: A Primer In Probabilities On Algebraic-Topological Structures (Series on Multivariate Analysis, V. 7). World Scientific Publishing Company, 2004.

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19

Huybrechts, D. K3 Surfaces. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0010.

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After abelian varieties, K3 surfaces are the second most interesting special class of varieties. These have a rich internal geometry and a highly interesting moduli theory. Paralleling the famous Torelli theorem, results from Mukai and Orlov show that two K3 surfaces have equivalent derived categories precisely when their cohomologies are isomorphic weighing two Hodge structures. Their techniques also give an almost complete description of the cohomological action of the group of autoequivalences of the derived category of a K3 surface. The basic definitions and fundamental facts from K3 surface theory are recalled. As moduli spaces of stable sheaves on K3 surfaces are crucial for the argument, a brief outline of their theory is presented.
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20

Morris, Sidney A. Pontryagin Duality and the Structure of Locally Compact Abelian Groups. Cambridge University Press, 2009.

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21

Morris, Sidney A. Pontryagin Duality and the Structure of Locally Compact Abelian Groups. Cambridge University Press, 2011.

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22

Ross, Kenneth A., and Edwin Hewitt. Abstract Harmonic Analysis: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups. Springer London, Limited, 2013.

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23

Ross, Kenneth A., and Edwin Hewitt. Abstract Harmonic Analysis: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups. Springer, 2012.

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24

Hewitt, Edwin, and Kenneth A. Ross. Abstract Harmonic Analysis: Vol. 2. Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups. Springer, 1994.

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25

Hewitt, Edwin, and Kenneth A. Ross. Abstract Harmonic Analysis: Vol. 2. Structure and Analysis for Compact Groups, Analysis on Locally Compact Abelian Groups. Springer, 1988.

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26

Ross, Kenneth A., and Edwin Hewitt. Abstract Harmonic Analysis : Volume II: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups. Springer London, Limited, 2013.

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27

Hewitt, Edwin, Kenneth Ross, and Ross Hewitt. Abstract Harmonic Analysis: Structure and Analysis for Compact Groups, Analysis on Locally Compact Abelian Groups (Lecture Notes in Mathematics). 2nd ed. Springer, 2002.

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28

Sussman, Gerald Jay, and Harold Abelson. Abelson: Structure & Interpretation of Computer Programs - Exercise Disks for Apple Mac Computers (Phamplet/disk) (PR Only). MIT Press, 1994.

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29

Abstract Harmonic Analysis: Vol. 2: Structure and Analysis for Compact Groups, Analysis on Locally Compact Abelian Groups (Grundlehren Der Mathematischen Wissenschaften in Einzeldarst). Springer, 1988.

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30

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.
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31

Mashhoon, Bahram. Field Equation of Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0006.

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In extended general relativity (GR), Einstein’s field equation of GR can be expressed in terms of torsion and this leads to the teleparallel equivalent of GR, namely, GR||, which turns out to be the gauge theory of the Abelian group of spacetime translations. The structure of this theory resembles Maxwell’s electrodynamics. We use this analogy and the world function to develop a nonlocal GR|| via the introduction of a causal scalar constitutive kernel. It is possible to express the nonlocal gravitational field equation as modified Einstein’s equation. In this nonlocal gravity (NLG) theory, the gravitational field is local, but satisfies a partial integro-differential field equation. The field equation of NLG can be expressed as Einstein’s field equation with an extra source that has the interpretation of the effective dark matter. It is possible that the kernel of NLG, which is largely undetermined, could be derived from a more general future theory.
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32

Structure and Interpretation of Computer Programs [Paperback] [Jan 01, 2005] Harold Abelson, Gerald Jay Sussman, Julie Sussman. Orient Black Swan, 2005.

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33

Noncommutative Motives. American Mathematical Society, 2015.

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