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

By: Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials (2003 : Edinburgh, Scotland)Contributor(s): Kuznetsov, Vadim B, 1963- | Sahi, Siddhartha, 1958-Material type: TextTextSeries: Contemporary mathematics ; v. 417Publication details: Providence, R.I. : American Mathematical Society, c2006Description: 1 online resource (xix, 360 p. : ill.)ISBN: 9780821880968 (online)Subject(s): Orthogonal polynomials -- CongressesAdditional physical formats: Jack, Hall-Littlewood, and Macdonald polynomials :DDC classification: 515/.55 LOC classification: QA404.5 | .W67 2003Online resources: Contents | Contents
Contents:
Henry Jack 1917-1978 / B. D. Sleeman -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07906 Philip Hall / Alun O. Morris -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07908 Dudley Ernest Littlewood / Alun O. Morris -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07910 Ian Macdonald / Alun O. Morris -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07912 On certain symmetric functions / D. E. Littlewood -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07914 A class of symmetric polynomials with a parameter / Henry Jack -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07915 A class of polynomials in search of a definition, or the symmetric group parametrized / Henry Jack -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07916 Commentary on the previous paper: "A class of polynomials in search of a definition, or the symmetric group parametrized" [in Jack, Hall-Littlewood and Macdonald polynomials, 75-106, Contemp. Math., 417, Amer. Math. Soc., Providence, RI, 2006; MR2284122] by H. Jack / I. G. Macdonald -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07917 First letter from Henry Jack to G. de B. Robinson / Henry Jack -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07918 Well-poised Macdonald functions $W_\lambda $ and Jackson coefficients $\omega _\lambda $ on $BC_n$ / Hasan Coskun and Robert A. Gustafson -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07919 Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry / J. F. van Diejen -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07920 Quantization, orbifold cohomology, and Cherednik algebras / Pavel Etingof and Alexei Oblomkov -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07921 Triple groups and Cherednik algebras / Bogdan Ion and Siddhartha Sahi -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07922 Coincident root loci and Jack and Macdonald polynomials for special values of the parameters / M. Kasatani, T. Miwa, A. N. Sergeev and A. P. Veselov -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07923 Lowering and raising operators for some special orthogonal polynomials / Tom H. Koornwinder -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07924 Factorization of symmetric polynomials / Vadim B. Kuznetsov and Evgeny K. Sklyanin -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07925 A method to derive explicit formulas for an elliptic generalization of the Jack polynomials / Edwin Langmann -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07926 A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials / Michel Lassalle -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07927 Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity / Andrei Okounkov and Grigori Olshanski -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07928 A difference-integral representation of Koornwinder polynomials / Eric M. Rains -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07929 Explicit computation of the $q,t$-Littlewood-Richardson coefficients / Michael Schlosser -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07930 A multiparameter summation formula for Riemann theta functions / Vyacheslav P. Spiridonov -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07931 Vadim Borisovich Kuznetsov 1963-2005 / Evgeny Sklyanin and Brian D. Sleeman -- http://www.ams.org/conm/417/ http://dx.doi.org/10.1090/conm/417/07933
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Includes bibliographical references.

Henry Jack 1917-1978 / B. D. Sleeman -- Philip Hall / Alun O. Morris -- Dudley Ernest Littlewood / Alun O. Morris -- Ian Macdonald / Alun O. Morris -- On certain symmetric functions / D. E. Littlewood -- A class of symmetric polynomials with a parameter / Henry Jack -- A class of polynomials in search of a definition, or the symmetric group parametrized / Henry Jack -- Commentary on the previous paper: "A class of polynomials in search of a definition, or the symmetric group parametrized" [in Jack, Hall-Littlewood and Macdonald polynomials, 75-106, Contemp. Math., 417, Amer. Math. Soc., Providence, RI, 2006; MR2284122] by H. Jack / I. G. Macdonald -- First letter from Henry Jack to G. de B. Robinson / Henry Jack -- Well-poised Macdonald functions $W_\lambda $ and Jackson coefficients $\omega _\lambda $ on $BC_n$ / Hasan Coskun and Robert A. Gustafson -- Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry / J. F. van Diejen -- Quantization, orbifold cohomology, and Cherednik algebras / Pavel Etingof and Alexei Oblomkov -- Triple groups and Cherednik algebras / Bogdan Ion and Siddhartha Sahi -- Coincident root loci and Jack and Macdonald polynomials for special values of the parameters / M. Kasatani, T. Miwa, A. N. Sergeev and A. P. Veselov -- Lowering and raising operators for some special orthogonal polynomials / Tom H. Koornwinder -- Factorization of symmetric polynomials / Vadim B. Kuznetsov and Evgeny K. Sklyanin -- A method to derive explicit formulas for an elliptic generalization of the Jack polynomials / Edwin Langmann -- A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials / Michel Lassalle -- Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity / Andrei Okounkov and Grigori Olshanski -- A difference-integral representation of Koornwinder polynomials / Eric M. Rains -- Explicit computation of the $q,t$-Littlewood-Richardson coefficients / Michael Schlosser -- A multiparameter summation formula for Riemann theta functions / Vyacheslav P. Spiridonov -- Vadim Borisovich Kuznetsov 1963-2005 / Evgeny Sklyanin and Brian D. Sleeman --

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07906

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07908

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07910

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07912

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07914

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07915

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07916

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07917

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07918

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07919

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07920

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07921

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07922

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07923

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07924

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07925

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07926

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07927

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07928

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07929

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07930

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07931

http://www.ams.org/conm/417/

http://dx.doi.org/10.1090/conm/417/07933

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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