The gl₂ Bethe algebra associated with a nilpotent element

2008/10/13 by E. Mukhin, Mukhin, E., V. Tarasov +3
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0810.2257

openalex publication_date 2008/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To any 2x2-matrix K one assigns a commutative subalgebra B^K⊂ U(gl₂[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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