The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions

Bruce E. Sagan

ISBN 10: 0387950672 / ISBN 13: 9780387950679

Editore: Springer-Verlag New York Inc., 2001

Riguardo questo articolo

Codice articolo 9780387950679

Dati bibliografici

Titolo: The Symmetric Group: Representations, ...

Casa editrice: Springer-Verlag New York Inc.

Data di pubblicazione: 2001

Legatura: Couverture rigide

Condizione: Neuf

Edizione: 2ème Édition

Descrizione articolo

Riassunto:

This book brings together many of the important results in this field.

From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

Recensione:

From the reviews of the second edition:

"This work is an introduction to the representation theory of the symmetric group. Unlike other books on the subject this text deals with the symmetric group from three different points of view: general representation theory, combinatorial algorithms and symmetric functions. ... This book is a digestible text for a graduate student and is also useful for a researcher in the field of algebraic combinatorics for reference." (Attila Maróti, Acta Scientiarum Mathematicarum, Vol. 68, 2002)

"A classic gets even better. ... The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." (David M. Bressoud, Zentralblatt MATH, Vol. 964, 2001)