# Jack, Hall-Littlewood and Macdonald Polynomials

Publisher:
American Mathematical Society
Number of Pages:
360
Price:
99.00
ISBN:
0821836838
Friday, November 24, 2006
Reviewable:
No
Include In BLL Rating:
No
Vadim B. Kuznetsov and Siddhartha Sahi, editors
Series:
Contemporary Mathematics 417
Publication Date:
2006
Format:
Paperback
Category:
Proceedings

Part 1. Historic Material

• B. D. Sleeman -- Henry Jack 1917-1978
• A. O. Morris -- Philip Hall
• A. O. Morris -- Dudley Ernest Littlewood
• A. O. Morris -- Ian Macdonald
• I. G. Macdonald -- The algebra of partitions
• D. E. Littlewood -- On certain symmetric functions
• H. Jack -- A class of symmetric polynomials with a parameter
• H. Jack -- A class of polynomials in search of a definition, or the symmetric group parametrized
• I. G. Macdonald -- Commentary on the previous paper
• H. Jack, G. de B. Robinson, and W. N. Everitt -- First letter from Henry Jack to G. de B. Robinson/Second letter reply from G. de B. Robinson to Henry Jack/Third letter from W. N. Everitt to G. de B. Robinson

Part 2. Research Articles

• H. Coskun and R. A. Gustafson -- Well-poised Macdonald functions $W_{\lambda}$ and Jackson coefficients $\omega_\lambda$ on $BC_n$
• J. F. van Diejen -- Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
• P. Etingof and A. Oblomkov -- Quantization, orbifold cohomology, and Cherednik algebras
• B. Ion and S. Sahi -- Triple groups and Cherednik algebras
• M. Kasatani, T. Miwa, A. N. Sergeev, and A. P. Veselov -- Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
• T. H. Koornwinder -- Lowering and raising operators for some special orthogonal polynomials
• V. B. Kuznetsov and E. K. Sklyanin -- Factorization of symmetric polynomials
• E. Langmann -- A method to derive explicit formulas for an elliptic generalization of the Jack polynomials
• M. Lassalle -- A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials
• A. Okounkov and G. Olshanski -- Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity
• E. M. Rains -- A difference-integral representation of Koornwinder polynomials
• M. Schlosser -- Explicit computation of the $q,t$-Littlewood-Richardson coefficients
• V. P. Spiridonov -- A multiparameter summation formula for Riemann theta functions

Part 3. Vadim Borisovich Kuznetsov 1963-2005

• B. D. Sleeman and E. K. Sklyanin -- Vadim Borisovich Kuznetsov 1963-2005
Publish Book:
Modify Date:
Wednesday, July 28, 2010