Whittaker functions on quantum groups and q-deformed Toda operators
Whittaker functions on quantum groups and q-deformed Toda operators
复制标题
量子群和 q 变形 Toda 算子上的 Whittaker 函数
DOI：
10.1090/trans2/194/02
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
P. Etingof
中科院分区：
文献类型：
--
作者：
P. Etingof
In this paper we q-deform a construction of Kazhdan and Kostant from 1970's which produces quantum Toda Hamiltonians by considering the action of Casimirs of a simple Lie algebra on Whittaker functions on the corresponding Lie group. We also give the affine analog of this generalization. This is done by extending the notion of a Whittaker function to quantum groups and quantum affine algebras. We compute the q-deformed Toda Hamiltonians for Lie algebras of type A and show that they coincide with those known in the theory of integrable systems.
