03868nam 2200577 450 991080922270332120180613001239.00-8218-8096-9(CKB)3240000000069943(EBL)3113362(SSID)ssj0000629363(PQKBManifestationID)11439203(PQKBTitleCode)TC0000629363(PQKBWorkID)10731304(PQKB)10550863(MiAaPQ)EBC3113362(RPAM)14529230(PPN)197107443(EXLCZ)99324000000006994320060831h20062006 uy| 0engur|n|---|||||txtccrJack, 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, editorsProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (386 p.)Contemporary mathematics,0271-4132 ;417Description based upon print version of record.0-8218-3683-8 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;417.Orthogonal polynomialsCongressesOrthogonal polynomials515/.55Kuznetsov Vadim B.1963-2006,Sahi Siddhartha1958-Workshop on Jack, Hall-Littlewood, and Macdonald PolynomialsMiAaPQMiAaPQMiAaPQBOOK9910809222703321Jack, Hall-Littlewood, and Macdonald polynomials715162UNINA