Dept. Math, Hokkaido Univ. EPrints Server

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

名古屋, 創 $A_l^{(1)}$型量子 PAINLEVE 系 (QUANTUM PAINLEVE SYSTEMS OF TYPE $A_l^{(1)}$. In: 表現論シンポジウム, 2005/11/15-18, ヤマハリゾートつま恋.

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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)
Subjects:16-xx ASSOCIATIVE RINGS AND ALGEBRAS
ID Code:28