Twisting Functors for Quantum Group Modules

2015/04/27 by Dennis Hasselstrøm Pedersen, Pedersen, Dennis Hasselstrøm
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1504.07039

39 pages

arxiv created 2015/07/23 · arxiv updated 2015/07/24

Abstract

We construct twisting functors for quantum group modules. First over the field ℚ(v) but later over any 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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