Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2006]; ©2006
• Descrizione fisica: 1 online resource (386 p.)
• Disciplina: 515/.55
• Soggetto topico: Orthogonal polynomials
• Persona (resp. second.): KuznetsovVadim B. <1963-2006, >; SahiSiddhartha <1958->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""Bibliography""; ""Acknowledgments""; ""Part 1. Historic Material""; ""Photo of Henry Jack""; ""Henry Jack 1917-1978""; ""Photo of Philip Hall""; ""Philip Hall""; ""Photo of Dudley Ernest Littlewood""; ""Dudley Ernest Littlewood""; ""Photo of Ian Macdonald""; ""Ian Macdonald""; ""The Algebra of Partitions""; ""1. Introduction""; ""2. The algebra of symmetric functions""; ""3. Hall polynomials and the Hall algebra""; ""4. Hallâ€?Littlewood symmetric functions""; ""5. GLn over a finite field""; ""6. GLn over a local field""; ""7. Concluding remarks""; ""References"" ; ""On Certain Symmetric Functions""""A class of symmetric polynomials with a parameter""; ""A class of polynomials in search of a definition, or the symmetric group parametrized""; ""Commentary on the previous paper""; ""First letter from Henry Jack to G. de B. Robinson [16.4.76]""; ""Part 2. Research articles""; ""Well-poised Macdonald functions Wλ and Jackson coefficients Ï?λ on BCn""; ""Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry""; ""Quantization, orbifold cohomology, and Cherednik algebras""; ""Triple groups and Cherednik algebras"" ; ""Coincident root loci and Jack and Macdonald polynomials for special values of the parameters""""Lowering and raising operators for some special orthogonal polynomials""; ""Factorization of symmetric polynomials""; ""A method to derive explicit formulas for an elliptic generalization of the Jack polynomials""; ""A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials""; ""Limits of BC-type orthogonal polynomials as the number of variables goes to infinity""; ""1. Introduction""; ""1A. BCn orthogonal polynomials""; ""1B. Statement of the main result"" ; ""A multiparameter summation formula for Riemann theta functions""""Part 3. Vadim Kuznetsov 1963â€?2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963â€?2005""
• Titolo autorizzato: Jack, Hall-Littlewood, and Macdonald polynomials
• ISBN: 0-8218-8096-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788789703321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 417.