Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
GENERIC SPLITTING OF REDUCTIVE GROUPS
In memory of Ernst Witt
INA KERSTENULF REHMANN
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1994 年 46 巻 1 号 p. 35-70

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Generic conditions for the occurrence of a parabolic subgroup of given type in a reductive algebraic group are described. Especially the notion of a generic splitting field of a reductive algebraic group is investigated. The given theory generalizes and unifies other investigations of various authors for special algebraic structures such as Azumaya algebras and quadratic forms.
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