Representations of a Clifford algebra that are Azumaya algebras and generate the Brauer group

DOI10.1016/0021-8693(88)90060-9zbMath0664.10009OpenAlexW2080102150MaRDI QIDQ1115469

Steven B. Tesser

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90060-9

zbMATH Keywords

representationsAzumaya algebraClifford algebrahyperellipticBrauer groupbinary diagonal formcurve in affine 3-space

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Special algebraic curves and curves of low genus (14H45) Clifford algebras, spinors (15A66) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (7)

On Azumaya algebras arising from Clifford algebras ⋮ Clifford algebras of binary homogeneous forms ⋮ Representing Clifford algebras as crossed-products ⋮ On Clifford algebras and conjugate splittings ⋮ Down-up algebras and their representations. ⋮ Clifford algebras of forms of higher degrees ⋮ Idempotents et Representations de Certaines Algebres de Clifford

Cites Work

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• Representing Clifford algebras as crossed-products
• On Azumaya algebras arising from Clifford algebras
• Algèbres de Clifford et algèbres exterieures
• An algebra determined by a binary cubic form
• Sur certaines algebras de clifford
• The Brauer Group of a Commutative Ring
• On the Clifford Algebra of a Binary Cubic Form
• Linearizing of n-ic forms and generalized Clifford algebras

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