The gl_2 Bethe algebra associated with a nilpotent element
Quantum Algebra
2008-11-13 v2
Abstract
To any 2x2-matrix K one assigns a commutative subalgebra B^{K}\subset U(gl_2[t]) called a Bethe algebra. We describe relations between the Bethe algebras, associated with the zero matrix and a nilpotent matrix.
Cite
@article{arxiv.0810.2257,
title = {The gl_2 Bethe algebra associated with a nilpotent element},
author = {E. Mukhin and V. Tarasov and A. Varchenko},
journal= {arXiv preprint arXiv:0810.2257},
year = {2008}
}
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