English

Clifford semialgebras

Rings and Algebras 2021-12-23 v3

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.

Keywords

Cite

@article{arxiv.2108.03617,
  title  = {Clifford semialgebras},
  author = {Adam Chapman and Letterio Gatto and Louis Rowen},
  journal= {arXiv preprint arXiv:2108.03617},
  year   = {2021}
}

Comments

43 pages

R2 v1 2026-06-24T04:55:19.081Z