134 research outputs found
A new quantum analog of the Brauer algebra
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 Brauer-Schur-Weyl duality where the
action of the new algebra commutes with the representation of the twisted
deformation U'_q(o_n) of the enveloping algebra U(o_n) in the tensor power of
the vector representation.Comment: 13 page
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