Representations Of Finite And Lie Groups

Charles B Thomas (Autor)

Buch | Softcover

156 Seiten

2004
Imperial College Press (Verlag)
978-1-86094-484-0 (ISBN)

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This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P).

Basic Representation Theory-I; Induced Representations and Their Characters; Multilinear Algebra and l-rings; Representations of Compact Groups; Lie Groups and Algebras; SL2(p) and SL2(R).

Erscheint lt. Verlag	11.10.2004
Verlagsort	London
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	1-86094-484-1 / 1860944841
ISBN-13	978-1-86094-484-0 / 9781860944840
Zustand	Neuware