Preprint
Harish-Chandra modules for Yangians
V. Futorny, A. Molev and S. Ovsienko
Abstract
We study Harish-Chandra representations of the Yangian
Y(gl(2)) which admit a decomposition with respect to a natural
maximal commutative subalgebra Gamma and satisfy a polynomial
condition. We prove an analogue of Kostant theorem showing
that the restricted Yangian Y_p(gl(2)) is a free module over
Gamma and show that every character of Gamma defines a finite
number of irreducible Harish-Chandra modules. We study the
categories of generic Harish-Chandra modules, describe their
simple modules and indecomposable modules in tame blocks.
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Date:Wednesday, December 4, 2002 |
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