Document Zbl 0605.15020

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Clifford and Grassmann like algebras. (English) Zbl 0605.15020

Rend. Circ. Mat. Palermo, II. Ser., Suppl. 9, 141-155 (1985).

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

MSC:

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

Keywords:

generalized Clifford algebras; Lie algebras; twisted group rings; algebra extensions; Grassmann algebras; commutators

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