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arXiv · 0908.0916

The half-quantum group U^>=0

Z. Wang·H. X. Chen
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Abstract

Let U^>=0 denote the half quantum group for a fixed simple Lie algebra. We examine some properties and representation of U^>=0. We prove that the Hopf algebra U^>=0 is not quasi-cocommutative, and hence the category of left U^>=0-module is not a braided monoidal category. In the weight module category W, we describe all the simple objects and the projective objects. We also describe all simple Yetter-Drinfel'd U^>=0-weight modules.

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Z. Wang, H. X. Chen. 2009-08-06. The half-quantum group U^>=0. https://arxiv.org/abs/0908.0916

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