Resumen de Bethe subalgebras of Uq(glˆn)Uq(gl^n) via shuffle algebras
Boris Feigin, Alexander Tsymbaliu
In this article, we construct certain commutative subalgebras of the big shuffle algebra of type A(1)n−1An−1(1) . This can be considered as a generalization of the similar construction for the small shuffle algebra, obtained in Feigin et al. (J Math Phys 50(9):42, 2009). We present a Bethe algebra realization of these subalgebras. The latter identifies them with the Bethe subalgebras of Uq(glˆn)Uq(gl^n) .
