Schur duality in the toroidal setting

Mathematics – Quantum Algebra

Scientific paper

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Plain TeX, 14 pages

Scientific paper

10.1007/BF02517898

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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