Creation Operators for the Macdonald and Jack Polynomials

Letters in Mathematical Physics

Volumn 40, Issue 3, 1997, Pages 269-286

  Lapointe, Luc ^a   Vinet, Luc ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Creation operators; Jack polynomials; Macdonald polynomials; Rodrigues formula

Indexed keywords

EID: 0000715788     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007332315944     Document Type: Article

References (5)

1. Macdonald, I. G.: Symmetric Functions and Hall Polynomials, 2nd edn, Clarendon Press, Oxford, 1995.
2. Lapointe, L. and Vinet, L.: Exact operator solution of the Calogero - Sutherland model, Comm. Math. Phys. 178 (1996), 425-452.
3. Lapointe, L. and Vinet, L.: A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture, IMRN 9 (1995), 419-424.
4. Garsia, A. M. and Tesler, G.: Plethystic formulas for Macdonald q, t-Kostka coefficients, to be published.
5. Van Diejen, J. F.: Commuting difference operators with polynomial eigenfunctions, Compositio Math. 95 (1995), 183-233.