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Home > Art, Film & Photography > Representation Theory of Groups: Group Representation, Group Action, Gelfand Pair, Commutation Theorem, Character Theory, Group Ring
Representation Theory of Groups: Group Representation, Group Action, Gelfand Pair, Commutation Theorem, Character Theory, Group Ring

Representation Theory of Groups: Group Representation, Group Action, Gelfand Pair, Commutation Theorem, Character Theory, Group Ring


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 36. Chapters: Group representation, Group action, Gelfand pair, Commutation theorem, Character theory, Group ring, P-adic Hodge theory, Schur orthogonality relations, Tempered representation, Burnside ring, Regular representation, Frobenius-Schur indicator, Representation theory of diffeomorphism groups, Projective representation, Matrix coefficient, Springer correspondence, Unitary representation, B-admissible representation, Positive definite function on a group, Representation ring, Character group, Molien series, G-module, Multiplicity-one theorem, Complex conjugate representation, K-finite, Dual representation, Complementary series representation, Complex representation, Monomial representation, Atlas of Lie groups and representations, Partial group algebra, Decomposition matrix, Representation rigid group. Excerpt: In mathematics, the expression Gelfand pair is a pair (G, K) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations. The theory of Gelfand pairs is closely related to the topic of spherical functions in the classical theory of special functions, and to the theory of Riemannian symmetric spaces in differential geometry. Broadly speaking, the theory exists to abstract from these theories their content in terms of harmonic analysis and representation theory. When G is a finite group the simplest definition is, roughly speaking, that the (K, K)-double cosets in G commute. More precisely, the Hecke algebra, the algebra of functions on G that are invariant under translation on either side by K, should be commutative for the convolution on G. In general, the definition of Gelfand pair is roughly that the restriction to H of any irreducible representation of G contains the trivial representation of H with multiplicity no more than 1. In each case one should specify the cla..


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Product Details
  • ISBN-13: 9781156013946
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 38
  • Spine Width: 2 mm
  • Weight: 86 gr
  • ISBN-10: 1156013941
  • Publisher Date: 25 Jun 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Group Representation, Group Action, Gelfand Pair, Commutation Theorem, Character Theory, Group Ring
  • Width: 189 mm


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