q-series from a contemporary perspective : AMS-IMS-SIAM Joint Summer Research Conference on q-Series, Combinatorics, and Computer Algebra, June 21-25, 1998, Mount Holyoke College, South Hadley, MA / / Mourad E.H. Ismail, Dennis W. Stanton, editors

• Record Nr.: UNINA9910817172303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2000]; ©2000
• ISBN: 0-8218-7844-1; 0-8218-5590-5
• Descrizione fisica: 1 online resource (446 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 254
• Disciplina: 515/.243
• Soggetti: q-series
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""1.1. Definition""""1.2. Modified Hallâ€?Littlewood polynomials for partition λ = (1N)""; ""1.3. Hall-Littlewood polynomials and characters of the affine Lie algebra sl(n)""; ""1.4. Modified Hall-Littlewood polynomials and unipotent flag varieties""; ""1.5. Modified Hallâ€?Littlewood polynomials and Demazure characters""; ""1.6. Modified Hallâ€?Littlewood polynomials and chains of subgroupsin a finite abelian pâ€?group""; ""Â2. Generalized mahonian statistics""; ""2.1. Mahonian statistics on the set M(Î?)""; ""2.2. Dual mahonian statistics""; ""2.3. Generalized mahonian statistics""; ""7.1. Multinomial fermionic formulae for one dimensional sums""""7.2. Rigged configurations polynomials""; ""Â8. Two parameter deformation of one dimensional sums""; ""References""; ""Schur function identities and the number of perfect matchings of Holey Aztec rectangles""; ""A new U(n) generalization of the Jacobi triple product identity""; ""A new quantum algebraic interpretation of the Askey-Wilson polynomials""; ""Some properties of Koornwinder polynomials""; ""A new multidimensional matrix inversion in Ar""