Clifford semialgebras

2021/08/08 by Chapman, Adam, Gatto, Letterio, Rowen, Louis · 1 citation
#05E05 #14M15 #FOS: Mathematics #Primary 15A75 #Rings and Algebras (math.RA) #Secondary 17B69

paper · doi:10.48550/arxiv.2108.03617

Abstract

We introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the construction of the Clifford semialgebra, is a formula describing the exterior semialgebra as a representation of the Clifford semialgebra, given by the endomorphisms of the first wedge power.

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• Inverse semialgebras and partial actions of Lie algebras

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