Spinor modules of Clifford algebras in classes \(N_{2k-1}\) and \(\Omega _{2k-1}\) are determined by irreducible nonlinear characters of corresponding Salingaros vee groups

DOI10.1007/S00006-018-0867-6zbMath1395.15017OpenAlexW2800676199MaRDI QIDQ1660103

Rafał Abłamowicz

Publication date: 15 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0867-6

zbMATH Keywords

group ringsSalingaros vee groupspinor module

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Clifford algebras, spinors (15A66)

Related Items (3)

A classification of Clifford algebras as images of group algebras of Salingaros vee groups ⋮ The Moore-Penrose inverse and singular value decomposition of split quaternions ⋮ The signed monodromy group of an Adinkra

Uses Software

• CLIFFORD
• Maple
• SymGroupAlgebra

Cites Work

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• Using periodicity theorems for computations in higher dimensional Clifford algebras
• A classification of Clifford algebras as images of group algebras of Salingaros vee groups
• Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
• The relationship between finite groups and Clifford algebras
• Realization, extension, and classification of certain physically important groups and algebras
• On the classification of Clifford algebras and their relation to spinors in n dimensions

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