Jack, Hall-Littlewood and Macdonald Polynomials

Jack, Hall-Littlewood and Macdonald Polynomials
Author :
Publisher : American Mathematical Soc.
Total Pages : 386
Release :
ISBN-10 : 9780821836835
ISBN-13 : 0821836838
Rating : 4/5 (838 Downloads)

Book Synopsis Jack, Hall-Littlewood and Macdonald Polynomials by : Vadim B. Kuznetsov

Download or read book Jack, Hall-Littlewood and Macdonald Polynomials written by Vadim B. Kuznetsov and published by American Mathematical Soc.. This book was released on 2006 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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and Macdonald; the original papers of Littlewood and Jack; notes on Hall's work by Macdonald; and a recently discovered unpublished manuscript by Jack (annotated by Macdonald).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.


Jack, Hall-Littlewood and Macdonald Polynomials Related Books

Jack, Hall-Littlewood and Macdonald Polynomials
Language: en
Pages: 360
Authors:
Categories: Orthogonal polynomials
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

Jack, Hall-Littlewood and Macdonald Polynomials
Language: en
Pages: 386
Authors: Vadim B. Kuznetsov
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

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 g
Macdonald Polynomials
Language: en
Pages: 137
Authors: Masatoshi Noumi
Categories:
Type: BOOK - Published: - Publisher: Springer Nature

GET EBOOK

The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics
Language: en
Pages: 178
Authors: James Haglund
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

GET EBOOK

This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research i
A Product Formula for Certain Littlewood-Richardson Coefficients for Jack and Macdonald Polynomials
Language: en
Pages: 50
Authors: Yusra Fatima Naqvi
Categories: Polynomials
Type: BOOK - Published: 2014 - Publisher:

GET EBOOK

Jack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomia