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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
Cubierta delantera
Vadim B. Kuznetsov, Siddharta Sahi
0 Reseñas
American Mathematical Soc., 2006 - 360 páginas
The subject of symmetric functions began with the work of Jacobi, Schur, Weyl, Young and others on the Schur polynomials. In the 1950's and 60's, far-reaching generalizations of Schur polynomials were obtained by Hall and Littlewood (independently) and, in a different direction, by Jack. In the 1980's, Macdonald unified these developments by introducing a family of polynomials associated with arbitrary root systems. The last twenty years have witnessed considerable progress in this area, revealing new and profound connections with representation theory, algebraic geometry, combinatorics, special functions, classical analysis and mathematical physics. All these fields and more are represented in this volume, which contains the proceedings of a conference on ''Jack, Hall-Littlewood and Macdonald polynomials'' held at ICMS, Edinburgh, during September 23-26, 2003. In addition to new results by leading researchers, the book contains a wealth of historical material, including brief biographies of Hall, Littlewood, Jack and Macdonald; the original papers of Littlewood and Jack; notes on Hall's work by Macdonald; and a recently discovered unpublished manuscript by Jack (annotated by Macdonald). The book will be invaluable to students and researchers who wish to learn about this beautiful and exciting subject.
  

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Páginas seleccionadas

Índice

Photo of Henry Jack
3
Commentary on the previous paper
5
Photo of Ian Macdonald
16
Reprint of the paper by D E Littlewood 1961 On certain symmetric
41
Reprint of the paper by Henry Jack 1970 A class of symmetric polynomials
57
A class of polynomials in search of a definition or the symmetric group
75
G MACDONALD
107
First letter from Henry Jack to G de B Robinson 16 4 76 Note added
123
Lowering and raising operators for some special orthogonal polynomials
227
Factorization of symmetric polynomials
239
A method to derive explicit formulas for an elliptic generalization of the Jack
257
A short proof of generalized JacobiTrudi expansions for Macdonald polynomials
271
Limits of BCtype orthogonal polynomials as the number of variables goes
281
A differenceintegral representation of Koornwinder polynomials
319
Explicit computation of the q iLittlewoodRichardson coefficients
335
parametrized An unpublished manuscript 1976
342

Asymptotics of multivariate orthogonal polynomials with hyperoctahedral
157
Quantization orbifold cohomology and Cherednik algebras
171
Triple groups and Cherednik algebras
183
Coincident root loci and Jack and Macdonald polynomials for special values
207
A multiparameter summation formula for Riemann theta functions
345
Photo of Vadim Kuznetsov
357
Página de créditos

Términos y frases comunes

affine Artin group affine Hecke algebras affine Weyl group Amer asymptotic automorphisms binomial formula braid relations c-functions Cherednik classical coefficients cohomology combinatorial compute Conjecture conjugate Corollary corresponding defined definition deformation denote diagonal dictionary order double affine Artin double affine Hecke double affine Weyl Dynkin diagram eigenfunctions element elliptic equation explicit formulas expression factor Fieri formula finite follows given Hall polynomials Hence hypergeometric series identity implies induction integral interpolation isomorphism Jack polynomials Jackson sum Jacobi polynomials Koornwinder polynomials lattice Lemma Littlewood Macdonald polynomials Mathematical Society matrix monomial symmetric functions multiple multivariate nodes normalized notation Note obtain Okounkov orthogonal polynomials paper parameters partition Proc proof Proposition prove quantum representation result right-hand side root systems satisfy Schur functions spherical functions symmetric group symmetric polynomials Theorem 3.1 theory transformation triangular triple group Vadim variables Young diagram zero zonal polynomials

Referencias en páginas web

Jack, Hall-Littlewood, and Macdonald polynomials; proceedings.(Brief
9780821836835 Jack, Hall-Littlewood, and Macdonald polynomials; proceedings. Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials (2003: Edin
www.encyclopedia.com/ doc/ 1G1-160112465.html

学術専門洋書販売(株)ニュートリノ: Jack, Hall-littlewood and ...
1988年～2009年出版の海外学術書籍約20万タイトルが検索可能です 検索（英数字で入力 してください）. Title, Author, Publisher, Keyword, ISBN ...
www.neutrino.co.jp/ publication/ 0821836838or_9780821836835

Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser
Vadim Kuznetsov. Informal Biography. by Eyes of His First Adviser. ⋆. Igor V. KOMAROV. St. Petersburg State University, St. Petersburg, Russia ...
www.emis.de/ journals/ SIGMA/ 2007/ 074/ sigma07-074.ps

New Books for 01/12/2007
TITLE: Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, ...
cims.nyu.edu/ library/ newbook/ 011207.html

[math/0606085] Limits of BC-type orthogonal polynomials as the ...
arxiv.org > math > arxiv:math/0606085. Search or Article-id. (Help | Advanced search). All papers, Titles, Authors, Abstracts, Full text, Help pages ...
arxiv.org/ abs/ math.RT/ 0606085

UK Nonlinear News 33 (August 2003): Conference Announcements
Workshop on Stochastic Partial Differential Equations (4-14 August 2003, Warwick University). International Conference on Mathematical Biology (6-9 August ...
www.amsta.leeds.ac.uk/ Applied/ news.dir/ issue33.dir/ meet/ confcall.html

FW: OP-SF NET 13.6
Subject: FW: OP-SF NET 13.6; From: "Dan Lozier" <lozier@nist.gov>; Date: Sun, 26 Nov 2006 16:57:26 -0500; Content-Transfer-Encoding: 8bit ...
cio.nist.gov/ esd/ emaildir/ lists/ opsfnet/ msg00082.html

New Publications Offered by the AMS, Volume 53, Number 11
1382. N. OTICES OF THE. AMS. V. OLUME. 53, N. UMBER. 11. New Publications. Offered by the AMS. Algebra and Algebraic. Geometry. Representations of ...
www.ams.org/ notices/ 200611/ newpubs-dec06.pdf

960529新書目錄
Jack, Hall-Littlewood, and Macdonald polynomials :Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, ...
www.math.ncku.edu.tw/ ~library/ book/ 2007/ 960529.htm

Catalogue BIUSJ & SCDM
Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, ...
bleuet3.bius.jussieu.fr/ ipac20/ ipac.jsp?aspect=basic_search& index=.AU& ipp=20& menu=search& npp=15& profile=bs& ri=& term=...

Información bibliográfica

QR code for Jack, Hall Littlewood and Macdonald Polynomials
TítuloJack, Hall Littlewood and Macdonald Polynomials: Workshop on Jack, Hall-Littlewood and Macdonald Polynomials, September 23 - 26, 2003, ICMS, Edinburgh, United Kingdom
Volumen 417 de Contemporary mathematics - American Mathematical Society
Volumen 417 de Contemporary mathematics, ISSN 0271-4132
Volumen 13 de 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
EditoresVadim B. Kuznetsov, Siddharta Sahi
Ediciónilustrada
EditorAmerican Mathematical Soc., 2006
ISBN0821857479, 9780821857472
N.º de páginas360 páginas
  
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