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St. Petersburg Seminar on Representation Theory and Dynamical Systems
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New applications of the Reflection Equation Algebras D. I. Gurevich |
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Abstract: The REA are treated to be q-analogs of the enveloping algebras U(gl(N)). In particular, each of them has a representation category similar to that of U(gl(N)). I plan to exhibit new applications of these algebras: 1. q-Capelli formula. 2. q-Frobenius formula. 3. q-Casimir and q-cut-and-join operators. |
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