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arXiv · 1504.07039

Twisting Functors for Quantum Group Modules

Dennis Hasselstrøm Pedersen
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Abstract

We construct twisting functors for quantum group modules. First over the field $\mathbb{Q}(v)$ but later over any $\mathbb{Z} [v,v^{-1}]$-algebra. The main results in this paper are a rigerous definition of these functors, a proof that they satisfy braid relations and applications to Verma modules.

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Dennis Hasselstrøm Pedersen. 2015-04-27. Twisting Functors for Quantum Group Modules. https://arxiv.org/abs/1504.07039

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