𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Deformed Macdonald-Ruijsenaars Operators and Super Macdonald Polynomials

✍ Scribed by A. N. Sergeev; A. P. Veselov


Publisher
Springer
Year
2009
Tongue
English
Weight
288 KB
Volume
288
Category
Article
ISSN
0010-3616

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Macdonald Polynomials and Algebraic Inte
✍ Oleg A. Chalykh πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 380 KB

We construct explicitly (nonpolynomial) eigenfunctions of the difference operators by Macdonald in the case t=q k , k Β₯ Z. This leads to a new, more elementary proof of several Macdonald conjectures, proved first by Cherednik. We also establish the algebraic integrability of Macdonald operators at t

Canonical Basis and Macdonald Polynomial
✍ Jonathan Beck; Igor B. Frenkel; Naihuan Jing πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 453 KB

In the basic representation of U q ( sl @ 2 ) realized via the algebra of symmetric functions, we compare the canonical basis with the basis of Macdonald polynomials where t=q 2 . We show that the Macdonald polynomials are invariant with respect to the bar involution defined abstractly on the repres