Clifford and Grassmann like algebras. (English) Zbl 0605.15020

This paper gives constructions for some types of algebra that are useful in Physics. Among these are twisted group rings with complex coefficients over finite abelian groups \(\Gamma\) (here called ”algebra extensions of \(\Gamma\) over \({\mathbb{C}}'')\), generalized Grassmann algebras where the quadratic form is replaced by a k-form, and Lie-type algebras derived from these algebras by various modified commutators.
Reviewer: M.E.Keating


15A66 Clifford algebras, spinors
16W50 Graded rings and modules (associative rings and algebras)
16S80 Deformations of associative rings