Global quantum differential operators on quantum flag manifolds, theorems of Duflo and Kostant

We give a short new proof for the theorem that global sections of the sheaf of quantum differential operators on a quantum flag manifold are given by the quantum group. As corollaries we retrieve Joseph and Letzter's quantum versions of classical enveloping algebra theorems of Duflo and Kostant...

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Bibliographic Details
Main Authors: Backelin, E, Kremnizer, K
Format: Journal article
Published: 2011