On ternary Clifford algebras on two generators defined by extra-special 3-groups of order 27
type: Item
instance of: scholarly article
title: On ternary Clifford algebras on two generators defined by extra-special 3-groups of order 27
zbMATH Open document ID: 1471.15018
author: Rafał Abłamowicz
published in: Advances in Applied Clifford Algebras
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 7384728
zbMATH Keywords: 3-group
zbMATH Keywords: central product
zbMATH Keywords: Clifford algebra
zbMATH Keywords: cyclic group
zbMATH Keywords: elementary abelian group
zbMATH Keywords: extra-special group
zbMATH Keywords: faithful character
zbMATH Keywords: \(\mathbb{Z}_3\)-graded algebra
zbMATH Keywords: graded algebra morphism
zbMATH Keywords: group algebra
zbMATH Keywords: homogeneous ideal
zbMATH Keywords: irreducible representation
zbMATH Keywords: quotient algebra
zbMATH Keywords: ternary Clifford algebra
cites work: TernaryClifford
cites work: A classification of Clifford algebras as images of group algebras of Salingaros vee groups
cites work: Hypersymmetry: A ℤ3-graded generalization of supersymmetry
cites work: Ternary Clifford algebras
cites work: Q5634146
cites work: Q3913574
cites work: Q5645586
cites work: Representations and characters of groups.
cites work: \(\mathbb{Z}_ 3\)-graded exterior differential calculus and gauge theories of higher order
cites work: Q4544915
cites work: Clifford algebras and spinors.
cites work: The relationship between finite groups and Clifford algebras
describes a project that uses: TernaryClifford
describes a project that uses: Maple
describes a project that uses: SageMath
describes a project that uses: SymGroupAlgebra
MaRDI profile type: Publication
full work available at URL: s00006-021-01162-3
OpenAlex ID: W3188497537
DOI: 10.1007/S00006-021-01162-3
description: scientific article; zbMATH DE number 7384728