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Quantum affine
algebras and affine Hecke algebras
Vyjayanthi Chari and Andrew Pressley |
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Vol. 174 (1996), No. 2, 295–326
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Abstract |
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We describe a functor from the category 𝒞m of finite-dimensional representations of the affine Hecke algebra of GL(m) to the category 𝒟n of finite-dimensional representations of affine sl(n). If m < n, this functor is an equivalence between 𝒞m and the subcategory of 𝒟n consisting of those representations whose irreducible components under quantum sl(n) all occur in the m-fold tensor product of the natural representation of quantum sl(n). These results are analogous to the classical Frobenius-Schur duality between the representations of general linear and symmetric groups. |
Mathematical Subject Classification 2000
Primary: 17B37
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Milestones
Received: 30 November 1993
Published: 1 June 1996
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Authors |
| Vyjayanthi Chari | |
| Department of Mathematics University of California-Riverside 2208 Sproul Hall Riverside CA 92521 United States |
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| Andrew Pressley | |
| Department of Mathematics King’s College, University of London London WC2R 2LS United Kingdom |
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