Bethe subalgebras in Hecke algebra and Gaudin models
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Publication:2442672
DOI10.1007/s11005-013-0660-3zbMath1292.81077arXiv1302.6495OpenAlexW1991808639MaRDI QIDQ2442672
A. P. Isaev, Anatol N. Kirillov
Publication date: 1 April 2014
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6495
Hecke algebras and their representations (20C08) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)
Related Items (6)
Notes on Schubert, Grothendieck and key polynomials ⋮ Bethe subalgebras of the group algebra of the symmetric group ⋮ On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system ⋮ On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ Induced representations and traces for chains of affine and cyclotomic Hecke algebras. ⋮ Fusion procedure for degenerate cyclotomic Hecke algebras.
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- Lectures on affine Hecke algebras and Macdonald’s conjectures
- Boundary conditions for integrable quantum systems
- ON SOME ALGEBRAIC AND COMBINATORIAL PROPERTIES OF DUNKL ELEMENTS
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