Clifford semialgebras
Adam Chapman, Letterio Gatto, and Louis Rowen
TL;DR
This paper develops a new theory of Clifford semialgebras and demonstrates their application in representation theory through Hasse-Schmidt derivations on exterior semialgebras, providing a novel algebraic framework.
Contribution
It introduces Clifford semialgebra systems and establishes a representation of exterior semialgebras via endomorphisms of the first wedge power.
Findings
Construction of Clifford semialgebras
Representation of exterior semialgebras as endomorphisms
New algebraic framework for representation theory
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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