Weight polynomial modules over the gl₂ Yangian

Author

V. M. Futorny and A. I. Molev

Status

Research Report 2001-12
Date: 4 November 2001

Abstract

We study representations of the Yangian Y(gl₂) which admit a weight space decomposition with respect to a natural commutative subalgebra. We describe irreducible generic weight modules satisfying a polynomiality condition. We also determine the representation type of categories of modules with finite-dimensional weight spaces and classify indecomposable modules in the categories of tame representation type.

Key phrases

Yangian. weight module.

AMS Subject Classification (1991)

Primary: 17B67
Secondary:

Content

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