Representations Of Finite And Lie Groups
Book Details
Format
Hardback or Cased Book
ISBN-10
1860944825
ISBN-13
9781860944826
Publisher
Imperial College Press
Imprint
Imperial College Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 11th, 2004
Print length
156 Pages
Weight
354 grams
Dimensions
23.50 x 15.60 x 1.50 cms
Product Classification:
Groups & group theory
Ksh 12,400.00
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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).
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).
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