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arXiv · 1302.6495

Bethe subalgebras in Hecke algebra and Gaudin models

A. P. Isaev·Anatol N. Kirillov
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Abstract

The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q -> 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.

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BibTeXRIS

A. P. Isaev, Anatol N. Kirillov. 2013-02-26. Bethe subalgebras in Hecke algebra and Gaudin models. https://doi.org/10.1007/s11005-013-0660-3

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