The Brauer-Clifford group for \((S,H)\)-Azumaya algebras over a commutative ring.

DOI10.1007/s10468-011-9295-1zbMath1270.16015OpenAlexW2015870042MaRDI QIDQ1946634

Thomas Guédénon, Allen Herman

Publication date: 15 April 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-011-9295-1

zbMATH Keywords

Brauer groupssymmetric monoidal categoriesAzumaya algebrascocommutative Hopf algebrasBrauer-Clifford groups

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Hopf algebras and their applications (16T05)

Related Items (9)

Brauer-Clifford group of \((S,\mathcal{G},H)\)-Azumaya algebras ⋮ An anti-isomorphism between Brauer-Clifford-Long groups \(BD (S, H)\) and \(BD(S^{\mathrm{op}},H^*)\) ⋮ Brauer–Clifford group of (S,G,H)-Azumaya comodule algebras ⋮ Unnamed Item ⋮ The Brauer-Clifford group for locally finite (S,H)-Azumaya algebras ⋮ Unnamed Item ⋮ The Brauer group of Azumaya-Poisson \(S\)-algebras ⋮ Brauer-Clifford group of Azumaya-Poisson \((S, H)\)-algebras ⋮ A Brauer-Clifford-long group for the category of dyslectic \((S, H)\)-dimodule algebras

Cites Work

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