Involutions and Brauer-Severi varieties

J.-B. Gatsinzi; J.-P. Tignol

doi:10.1016/0019-3577(96)85086-5

Involutions and Brauer-Severi varieties

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

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	149-160
Number of pages	12
Journal	Indagationes Mathematicae
Volume	7
Issue number	2
DOIs	https://doi.org/10.1016/0019-3577(96)85086-5
Publication status	Published - 1996

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10.1016/0019-3577(96)85086-5

http://www.sciencedirect.com/science/article/pii/0019357796850865

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title = "Involutions and Brauer-Severi varieties",

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.",

author = "J.-B. Gatsinzi and J.-P. Tignol",

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AU - Gatsinzi, J.-B.

AU - Tignol, J.-P.

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AB - 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.

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U2 - 10.1016/0019-3577(96)85086-5

DO - 10.1016/0019-3577(96)85086-5

M3 - Article

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EP - 160

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 2

ER -

Involutions and Brauer-Severi varieties

Abstract

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