Erik BackelinKobi Kremnizer2026-03-222026-03-22200410.48550/arxiv.math/0401108https://doi.org/10.48550/arxiv.math/0401108https://andeanlibrary.org/handle/123456789/83701Citaciones: 3Let $\Oq(G)$ be the algebra of quantized functions on an algebraic group $G$ and $\Oq(B)$ its quotient algebra corresponding to a Borel subgroup $B$ of $G$. We define the category of sheaves on the "quantum flag variety of $G$" to be the $\Oq(B)$-equivariant $\Oq(G)$-modules and proves that this is a proj-category. We construct a category of equivariant quantum $\mathcal{D}$-modules on this quantized flag variety and prove the Beilinson-Bernsteins localization theorem for this category in the case when $q$ is not a root of unity.enFlag (linear algebra)Equivariant mapQuantumPhysicsPure mathematicsMathematicspreprint