To an algebraist the theory of group characters presents one of
those fascinating situations, where the structure of an abstract
system is elucidated by a unique set of numbers inherent in the
system. But the subject also has a practical aspect, since group
characters have gained importance in several branches of science,
in which considerations of symmetry play a decisive part. This is
an introductory text, suitable for final-year undergraduates or
postgraduate students. The only prerequisites are a standard
knowledge of linear algebra and a modest acquaintance with group
theory. Especial care has been taken to explain how group
characters are computed. The character tables of most of the
familiar accessible groups are either constructed in the text or
included amongst the exercise, all of which are supplied with
solutions. The chapter on permutation groups contains a detailed
account of the characters of the symmetric group based on the
generating function of Frobenius and on the Schur functions. The
exposition has been made self-sufficient by the inclusion of
auxiliary material on skew-symmetric polynomials, determinants and
symmetric functions.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Release date: |
July 1987 |
First published: |
1987 |
Authors: |
Walter Ledermann
|
Dimensions: |
229 x 152 x 14mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
240 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-0-521-33781-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-33781-X |
Barcode: |
9780521337816 |
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