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Bethe subalgebras of quantum affine gl(n) via shuffle algebras (1504.01696v2)
Published 7 Apr 2015 in math.RT
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).