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Symmetries of \mathfrakglN-foams

2022/12/20 by Qi, You, Robert, Louis-Hadrien, Sussan, Joshua +1
#17B10 #18G35 #18N25 #57K16 #57K18 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.10106

Abstract

We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the \mathfrakglN-foam evaluation formula. In particular, this endows states spaces associated with \mathfrakglN-webs with an \mathfraksl2-action. When working in positive characteristic, this can be used to define a p-DG structure on these state spaces.

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