| Representations of Finite and Lie Groups Contributor(s): Thomas, Charles B. (Author) |
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ISBN: 1860944841 ISBN-13: 9781860944840 Publisher: Imperial College Press OUR PRICE: $42.75 Product Type: Paperback - Other Formats Published: October 2004 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Geometry - Algebraic |
| Dewey: 512.2 |
| Physical Information: 0.36" H x 6.12" W x 9" (0.51 lbs) 156 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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(P). |
