# \$A_l^{(1)}\$型量子 PAINLEVE 系 (QUANTUM PAINLEVE SYSTEMS OF TYPE \$A_l^{(1)}\$

 PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader203Kb

15 November 2005: 表現論シンポジウム

## Abstract

Quantum Painlevé systems of type A_{n-1}^{(1)} (n\le 2) [2] are the quantizations of the second, e fourth and fifth Pain levé equations and their generalizations proposed by M. Noumi and Y. Yamada [3]. Here, by using the Lax operator cor resonding to an upper triangular matrix of an affine Lie algebra, we systematically construct the Lax equation, affine Weyl group symmetry and Hamiltonian.

Item Type: Conference or Workshop Item (Proceedings) 16-xx ASSOCIATIVE RINGS AND ALGEBRAS 28