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Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2006.
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| Colección: | Contemporary mathematics (American Mathematical Society) ;
v. 417. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""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""
- ""1C. Other results""""2. Interpolation BCn polynomials and binomial formula""; ""2A. Interpolation BCn polynomials""; ""2B. Binomial formula""; ""2C. Asymptotics of denominators in binomial formula""; ""3. Sufficient conditions of regularity""; ""4. Necessary conditions of regularity""; ""5. The convex set γÎ?""; ""6. Spherical functions on infiniteâ€?dimensional symmetric spaces""; ""7. The BCn polynomials with Î? = 1""; ""References""; ""A difference-integral representation of Koornwinder polynomials""; ""Explicit computation of the q, t-Littlewood-Richardson coefficients""
- ""A multiparameter summation formula for Riemann theta functions""""Part 3. Vadim Kuznetsov 1963�2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963�2005""