A Note on Generalized Clifford Algebras and Representations

DOI10.1080/00927878908823715zbMath0666.20005OpenAlexW1516866466MaRDI QIDQ3818483

Freddy M. J. van Oystaeyen, Stefaan Caenepeel

Publication date: 1989

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878908823715

zbMATH Keywords

regular elementsgeneralized Clifford algebracocycleprojective representationtwisted group algebrageneralized Clifford representation

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Clifford algebras, spinors (15A66) Projective representations and multipliers (20C25)

Related Items (5)

Differential calculi on \(\mathbb Z_3\)-graded Grassmann plane ⋮ A Clifford algebra is a weak Hopf algebra in a suitable symmetric monoidal category. ⋮ Localizations and sheaves of glider representations ⋮ The Schur Group Conjecture for the Ring of Integers of a Number Field ⋮ The Brauer group of a braided monoidal category

Cites Work

• Unnamed Item
• Azumaya strongly graded rings and ray classes
• The Brauer splitting theorem and projective representations of finite groups over rings
• Projective Representations of Abelian Groups
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• ON A GENERALIZED CLIFFORD ALGEBRA

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