Introduction to Group Characters

Ledermann, Walter

ISBN 10: 052133781X / ISBN 13: 9780521337816

Editore: Cambridge University Press, 1987

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Cambridge University Press, 1987. Second edition; cover unevenly sunned/lightly bumped/faintly rubbed, previous bookseller's price label on rear flap, corners ever-so-slightly rubbed/bumped, spine sunned, spine ends very faintly rubbed/bumped; edges lightly age-toned; binding tight; cover, edges, and interior intact and clean except as noted. paperback. Good. Codice articolo 618421

Dati bibliografici

Titolo: Introduction to Group Characters

Casa editrice: Cambridge University Press

Data di pubblicazione: 1987

Legatura: Brossura

Condizione: Good

Edizione: seconda edizione

Descrizione articolo

Riassunto:

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.

Recensione:

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