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A geometric approach to Hall algebras I: Higher Associativity

2016/11/28 by Gal, Adam, Gal, Elena
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1611.09140

Abstract

We construct a geometric system from which the Hall algebra can be recovered. This system inherently satisfies higher associativity conditions and thus leads to a categorification of the Hall algebra. We then suggest how to use this approach to construct categorified representations.

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