ENGLISH

Representations Of Finite And Lie Groups

By Charles B. Thomas

Book information

Publisher
World Scientific Publishing Company
Year
2004
ISBN
1860944825, 9781860944826, 1860944841
Open Library ID
OL8628098M
Language
english
Format
PDF
Filesize
8 MB (8469060 bytes)
Pages
157\157
Topic
Mathematics Algebra
Time added
2011-06-04 13:46:07

Description

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( A).

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