Relevant bibliographies by topics / Copolarity

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Copolarity'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Copolarity"

1

Gorodski, Claudio, Carlos Olmos, and Ruy Tojeiro. "Copolarity of isometric actions." Transactions of the American Mathematical Society 356, no. 4 (September 22, 2003): 1585–608. http://dx.doi.org/10.1090/s0002-9947-03-03427-5.

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2

Panelli, Francesco, and Carolin Pomrehn. "Representations of abstract copolarity one and two." Differential Geometry and its Applications 58 (June 2018): 52–64. http://dx.doi.org/10.1016/j.difgeo.2017.12.002.

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3

Gomes, André, and Claudio Gorodski. "Representations of low copolarity." Proceedings of the American Mathematical Society, August 18, 2022. http://dx.doi.org/10.1090/proc/16114.

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We classify irreducible representations of compact connected Lie groups whose orbit space is isometric to the orbit space of a representation of a compact Lie group of dimension 7 7 , 8 8 or 9 9 . They turn out to be closely related to symmetric spaces, with one exception only.
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4

Gorodski, Claudio, and Alexander Lytchak. "On orbit spaces of representations of compact Lie groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2014, no. 691 (January 1, 2014). http://dx.doi.org/10.1515/crelle-2012-0084.

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Abstract.We investigate orthogonal representations of compact Lie groups from the point of view of their quotient spaces, considered as metric spaces. We study metric spaces which are simultaneously quotients of different representations and investigate properties of the corresponding representations. We obtain some structural results and apply them to study irreducible representations of small copolarity. As an important tool, we classify all irreducible representations of connected groups with cohomogeneity four or five.
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Dissertations / Theses on the topic "Copolarity"

1

Pomrehn, Carolin [Verfasser], Gudlaugur [Akademischer Betreuer] Thorbergsson, and Alexander [Akademischer Betreuer] Lytchak. "Generalized sections and representations of copolarity one and two / Carolin Pomrehn. Gutachter: Gudlaugur Thorbergsson ; Alexander Lytchak." Köln : Universitäts- und Stadtbibliothek Köln, 2015. http://d-nb.info/1074243242/34.

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2

Panelli, Francesco. "Representations admitting a toric reduction." Doctoral thesis, 2018. http://hdl.handle.net/2158/1118268.

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We study representations (G,V), where G is a compact and connected Lie group acting by isometries on the finite dimensional real euclidean vector space V, such that the orbit space V/G is isometric to the orbit spave W/H of a representation (H,W) where H is a finite extension of a torus. In particular we classify such representations (G,V) when G is simple.
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3

Magata, Frederick [Verfasser]. "Reductions, resolutions and the copolarity of isometric group actions / vorgelegt von Frederick Magata." 2008. http://d-nb.info/989288749/34.

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