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Groupes Algébriques Semi-Simples En Dimension Cohomologique: Semisimple Algebraic Groups in Cohomological Dimension
Paperback
Series: Lecture Notes in Mathematics, Book 2238
ISBN13: 9783030172718
Publisher: Springer Nature
Published: May 25 2019
Pages: 169
Weight: 0.61
Height: 0.41 Width: 6.14 Depth: 9.21
Language: French
La théorie des groupes algébriques sur un corps arbitraire est l'une des branches les plus merveilleuses des mathématiques modernes. Cette monographie porte sur les groupes algébriques semi-simples définis sur un corps k de dimension cohomologique séparable Utilisant principalement des techniques de groupes algébriques, on couvre tous les cas connus de la conjecture: les cas classiques (dus à Bayer-Fluckiger and Parimala) ainsi que les avancées sur les cas exceptionnels restants (par exemple de type E8). Ceci s'applique à la classification des groupes semi-simples.
The theory of algebraic groups over arbitrary fields is one of the most beautiful branches of modern mathematics. This monograph deals with semisimple algebraic groups over a generalfield k of separable cohomological dimension to Bayer-Fluckiger and Parimala), and some perspectives are given on the remaining exceptional cases (e.g., G of type E8). Applications to the classification of semisimple k-groups are presented.
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