Last updated
2024-03-16T13:56:24.377+00:00
Abstract
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. We also describe
the center of the ad-integrable part of the quantum group and the adjoint Lie
algebra action on it.
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. We also describe
the center of the ad-integrable part of the quantum group and the adjoint Lie
algebra action on it.
Symplectic ID
199452
Download URL
http://arxiv.org/abs/1106.4343v3
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Publication type
Journal Article
Publication date
21 Jun 2011