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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Molev, A. A New Quantum Analog of the Brauer Algebra. Czechoslovak Journal of Physics 53, 1073–1078 (2003). https://doi.org/10.1023/B:CJOP.0000010536.64174.8e
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DOI: https://doi.org/10.1023/B:CJOP.0000010536.64174.8e