Representations of Quantum Tori and G-bundles on Elliptic Curves
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 Gand 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.
Keywords and phrasesnilpotent coadjoint orbit Dixmier algebra symplectic reduction
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