Introduction to Group Characters - Hardcover

Ledermann

Hardcover

ISBN 10: 0521214866 ISBN 13: 9780521214865

Publisher: Cambridge University Press, 1977

Synopsis

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.

About this title

Review

Review of the hardback: 'The author introduces group representations with a commendable balance between the abstract approach emphasising modules and the concrete approach emphasising matrices ...An excellent text!' Mathematical Reviews

Review of the hardback: '... this little volume contains a clear and, at points, brilliant description of the fundamentals of the theory of group characters' Scientia

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1977
• Language: English
• ISBN 10: 0521214866
• ISBN 13: 9780521214865
• Binding: Hardcover
• Edition number: 1
• Number of pages: 172