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The maximality of certain commutative subalgebras in Yangians

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Publication:2191813
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DOI10.1134/S0016266319040087zbMath1487.17027OpenAlexW3004370211MaRDI QIDQ2191813

A. I. Il'in

Publication date: 26 June 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266319040087


zbMATH Keywords

YangianBethe subalgebra


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras, quantum groups and related topics (16T99)


Related Items (3)

Hermitian property and the simplicity of spectrum of Bethe subalgebras in Yangians ⋮ On classical limits of Bethe subalgebras in Yangians ⋮ Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations




Cites Work

  • Unnamed Item
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  • Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
  • Bethe subalgebras in twisted Yangians
  • The \(R\)-matrix presentation for the Yangian of a simple Lie algebra
  • Bethe subalgebras in Yangians and the wonderful compactification
  • Centralizers of certain quadratic elements in Poisson-Lie algebras and the method of translation of invariants




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