A new view of generalized Clifford algebras

DOI10.1007/s00006-019-0966-zzbMath1415.15025OpenAlexW2941446669MaRDI QIDQ2422696

Yuping Yang, Huilan Li, Tao Cheng

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1007/s00006-019-0966-z

zbMATH Keywords

generalized Clifford algebrastwisted group algebrageneralized Clifford process

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Twisted and skew group rings, crossed products (16S35)

Uses Software

• CLIFFORD

Cites Work

• Unnamed Item
• A Clifford algebra is a weak Hopf algebra in a suitable symmetric monoidal category.
• Using periodicity theorems for computations in higher dimensional Clifford algebras
• Generalized Clifford algebras as algebras in suitable symmetric linear Gr-categories
• Clifford algebras obtained by twisting of group algebras
• Quasialgebra structure of the octonions
• The octonions form an Azumaya algebra in certain braided linear Gr-categories
• Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
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• On the transposition anti-involution in real Clifford algebras I: the transposition map
• On the transposition anti-involution in real Clifford algebras II: stabilizer groups of primitive idempotents
• ℤ₂ⁿ-graded quasialgebras and the Hurwitz problem on compositions of quadratic forms
• A generalization of Clifford algebras
• ON A GENERALIZED CLIFFORD ALGEBRA (II)
• ON A GENERALIZED CLIFFORD ALGEBRA
• C-lattices and decompositions of generalized Clifford algebras