The gl_2 Bethe algebra associated with a nilpotent element

Details The gl_2 Bethe algebra associated with a nilpotent element The gl_2 Bethe algebra associated with a nilpotent element

2008-10-13

arxiv.org/abs/0810.2257v2

Mathematics

Quantum Algebra

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Scientific paper

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.

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