Involutions and Brauer-Severi varieties

J.-B. Gatsinzi, J.-P. Tignol

Research output: Contribution to journalArticle

Abstract

For an arbitrary finite-dimensional central simple algebra A, we define central simple algebras s2A and λ2A which are Brauer-equivalent to A ⊗ A. Following an idea of Tamagawa, a correspondence between involutions on A and rational points on the Brauer-Severi varieties of s2Aop and λ2Aop is established in a characteristic-free context.
Original languageEnglish
Pages (from-to)149-160
Number of pages12
JournalIndagationes Mathematicae
Volume7
Issue number2
DOIs
Publication statusPublished - 1996

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