The Q,T-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Combinatorics of Macdonald Polynomials - Brossura

Haglund, James

Brossura

ISBN 10: 0821844113 ISBN 13: 9780821844113

Casa editrice: Amer Mathematical Society, 2007

Riassunto

The field of algebraic combinatorics is dynamic, and one of the most lively studies within the field is the combinatorics of the space of diagonal harmonics. Haglund (mathematics, U. of Pennsylvania) works from his successful lectures here with discussions of topics in the theory of symmetric functions, including work at the practical level such as plethystic substitutions. He includes a substantial number of examples and exercises as he introduces q-analogues and symmetric functions and then moves to MacDonald polynomials and the space of diagonal harmonics, the q, t-Catalan numbers, the q, t-Schröder polynomial, parking functions and the Hilbert series, the shuffle conjecture, and the proof of the q, t-Schröder theorem. In appendices he provides information on the combinatorics of Macdonald polynomials and the Loehr-Warrington conjecture along with solutions to the exercises. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0821844113
• ISBN 13: 9780821844113
• Rilegatura: Copertina flessibile
• Numero di pagine: 167
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile