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Affine Hecke algebras associated to Kac-Moody groups - MaRDI portal

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Affine Hecke algebras associated to Kac-Moody groups

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Publication:6503779

arXivq-alg/9508019MaRDI QIDQ6503779

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Abstract: In this paper we give a geometric construction of Cherednik's double affine Hecke algebra. We construct the algebra as the equivariant K-theory of the Lagrangian subvariety of the cotangent variety of the square of the flag variety of G, the variety being given by the union of the conormal bundles to the G-orbits on flagimesflag. This is a generalisation of work of Kazhdan and Lusztig to the Kac-Moody case, and is suitable for describing a certain class of modules for this algebra. In a paper in preparation we will do this, in the case G is affine (Cherednik's case).












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