A classification of Clifford algebras as images of group algebras of Salingaros vee groups

DOI10.1007/s00006-018-0854-yzbMath1394.15016OpenAlexW2794652361MaRDI QIDQ1659517

Rafał Abłamowicz, Anne Marie Walley, Manisha Varahagiri

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/s00006-018-0854-y

zbMATH Keywords

group algebraClifford algebrahomogeneous idealcyclic groupquotient algebracentral product\(\mathbb {Z}_2\)-graded algebragraded algebra morphism

Mathematics Subject Classification ID

Related Items (7)

A classification of Clifford algebras as images of group algebras of Salingaros vee groups ⋮ 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 ⋮ The Moore-Penrose inverse and singular value decomposition of split quaternions ⋮ On the topology of leaves of singular Riemannian foliations ⋮ Kanzaki's generalized quadratic spaces and graded Salingaros groups ⋮ On ternary Clifford algebras on two generators defined by extra-special 3-groups of order 27 ⋮ On the structure of ternary Clifford algebras and their irreducible representations

Uses Software

• CLIFFORD

Cites Work

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• Clifford modules
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• 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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