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math.QA2002★ 10 cited
A new quantum analog of the Brauer algebra
A. I. Molev
We introduce a new algebra B_l(z,q) depending on two nonzero complex parameters such that B_l(q^n,q) at q=1 coincides with the Brauer algebra B_l(n). We establish an analog of the…
math.QA2002★ 89 cited
Coideal subalgebras in quantum affine algebras
A. I. Molev, E. Ragoucy, P. Sorba
We introduce two subalgebras in the type A quantum affine algebra which are coideals with respect to the Hopf algebra structure. In the classical limit q -> 1 each subalgebra speci…