Categories of D-modules on a quantized flag manifold

Abstract

There are two approaches in defining the category of D-modules on a quantized flag manifold. One is due to Lunts and Rosenberg based on the Proj- construction of the quantized flag manifold, and the other is due to Backelin and Kremnizer using equivariant D-modules on the corresponding quantized algebraic group. In this paper we compare the two approaches.

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