Representations of Quantum Tori and G-bundles on Elliptic Curves
نویسندگان
چکیده
We study a BGG-type category of infinite-dimensional representations of H[W ], a semidirect product of the quantum torus with parameter q, built on the root lattice of a semisimple group G, and the Weyl group of G. Irreducible objects of our category turn out to be parametrized by semistable G-bundles on the elliptic curve C∗/qZ .
منابع مشابه
0 Representations of quantum tori and double - affine Hecke algebras
We study a BGG-type category of infinite dimensional representations of H[W ], a semi-direct product of the quantum torus with parameter q, built on the root lattice of a semisimple group G, and the Weyl group of G. Irreducible objects of our category turn out to be parameterized by semistable G-bundles on the elliptic curve C/q. In the second part of the paper we construct a family of algebras...
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