The book of involutions

This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (he...

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Detalles Bibliográficos
Autores principales: Knus, Max-Albert, Merkurjev, Alexander, Rost, Markus, Tignol, Jean-Pierre
Lenguaje:eng
Publicado: American Mathematical Society 1998
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2264184
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author Knus, Max-Albert
Merkurjev, Alexander
Rost, Markus
Tignol, Jean-Pierre
author_facet Knus, Max-Albert
Merkurjev, Alexander
Rost, Markus
Tignol, Jean-Pierre
author_sort Knus, Max-Albert
collection CERN
description This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type F_4 or G_2 arising from exceptional Jordan or composition algebras. Several results and
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
publisher American Mathematical Society
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spelling cern-22641842021-04-21T19:13:30Zhttp://cds.cern.ch/record/2264184engKnus, Max-AlbertMerkurjev, AlexanderRost, MarkusTignol, Jean-PierreThe book of involutionsMathematical Physics and MathematicsThis monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type F_4 or G_2 arising from exceptional Jordan or composition algebras. Several results andAmerican Mathematical Societyoai:cds.cern.ch:22641841998
spellingShingle Mathematical Physics and Mathematics
Knus, Max-Albert
Merkurjev, Alexander
Rost, Markus
Tignol, Jean-Pierre
The book of involutions
title The book of involutions
title_full The book of involutions
title_fullStr The book of involutions
title_full_unstemmed The book of involutions
title_short The book of involutions
title_sort book of involutions
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264184
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