Bethe subalgebras of the group algebra of the symmetric group

2010/04/24 by E. Mukhin, Mukhin, E., V. Tarasov +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1004.4248

openalex publication_date 2010/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce families of maximal commutative subalgebras, called Bethe subalgebras, of the group algebra of the symmetric group. Bethe subalgebras are deformations of the Gelfand-Zetlin subalgebra. We describe various properties of Bethe subalgebras.

Citations

• Current algebra and Wess-Zumino model in two dimensions

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