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arXiv · 1504.01696

Bethe subalgebras of quantum affine gl(n) via shuffle algebras

Boris Feigin·Alexander Tsymbaliuk
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Abstract

In this article, we construct certain commutative subalgebras of the big shuffle algebra of cyclic type. This can be considered as a generalization of the similar construction for the small shuffle algebra, obtained by Feigin-Hashizume-Hoshino-Shiraishi-Yanagida. We present a Bethe algebra realization of these subalgebras. The latter identifies them with the Bethe subalgebras of quantum affine gl(n).

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BibTeXRIS

Boris Feigin, Alexander Tsymbaliuk. 2015-04-07. Bethe subalgebras of quantum affine gl(n) via shuffle algebras. https://doi.org/10.1007/s00029-015-0212-z

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