A New Quantum Analog of the Brauer Algebra |
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| Authors: | AI Molev |
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| Institution: | (1) School of Mathematics and Statistics, University of Sydney, NSW, 2006, Australia |
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| Abstract: | We introduce a new algebra depending on two nonzero complex parameters z and q such that its specialization at z=q
n and q=1 coincides the Brauer algebra. We show that the action of the new algebra commutes with the representation of the twisted deformation of the enveloping algebra U(o
n) in the tensor power of the vector representation. |
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| Keywords: | twisted quantized algebra Brauer duality |
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