1.

Record Nr.

UNINA9910788789703321

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2006]

©2006

ISBN

0-8218-8096-9

Descrizione fisica

1 online resource (386 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 417

Disciplina

515/.55

Soggetti

Orthogonal polynomials

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

""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. Hall�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 1963�2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963�2005""