Schur duality in the toroidal setting
classification
q-alg
math.QA
keywords
dualityalgebraicschurtoroidaltypeaffinealgebracherednik
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The goal of the present paper is to prove with simple algebraic methods a Schur duality between Cherednik's double affine Hecke algebra of type GL(l) and the toroidal quantum group of type SL(n+1) introduced by V. Ginzburg, M. Kapranov and E. Vasserot in their "Langlands duality on algebraic surfaces".
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