Twisting Functors for Quantum Group Modules

Published 27 Apr 2015 in math.RT and math.QA | (1504.07039v3)

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

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