A new quantum analog of the Brauer algebra
نویسنده
چکیده
We introduce a new algebra Bl(z, q) depending on two nonzero complex parameters such that Bl(q n , q) at q = 1 coincides with the Brauer algebra Bl(n). We establish an analog of the Brauer–Schur–Weyl duality where the action of the new algebra commutes with the representation of the twisted deformation Uq(on) of the enveloping algebra U(on) in the tensor power of the vector representation.
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