Simplicity of spectra for Bethe subalgebras in \(\mathrm{Y}(\mathfrak{gl}_2)\)
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Publication:823822
DOI10.1007/s40598-020-00171-7OpenAlexW3119684393MaRDI QIDQ823822
Publication date: 16 December 2021
Published in: Arnold Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.09049
Discrete mathematics in relation to computer science (68Rxx) Algebraic combinatorics (05Exx) Special aspects of infinite or finite groups (20Fxx) Combinatorics (05-XX)
Related Items (3)
Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains ⋮ Hermitian property and the simplicity of spectrum of Bethe subalgebras in Yangians ⋮ Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations
Cites Work
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- Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum
- Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\)
- On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
- Yangian double
- Bethe subalgebras in twisted Yangians
- Bethe subalgebras in Yangians and the wonderful compactification
- Crystals and monodromy of Bethe vectors
- Combinatorics of Coxeter Groups
- Bethe eigenvectors of higher transfer matrices
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