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・ Quasi-perfect equilibrium
・ Quasi-periodic oscillation
・ Quasi-phase-matching
・ Quasi-polynomial
・ Quasi-projective variety
・ Quasi-property
・ Quasi-quotation
・ Quasi-realism
・ Quasi-reflexive
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・ Quasi-rent
・ Quasi-satellite
・ Quasi-separated morphism
・ Quasi-set theory
・ Quasi-solid
Quasi-split group
・ Quasi-star
・ Quasi-syllogism
・ Quasi-synchronous transmission
・ Quasi-tort
・ Quasi-triangular quasi-Hopf algebra
・ Quasi-triangulation
・ Quasi-War
・ Quasi-Zenith Satellite System
・ Quasianosteosaurus
・ Quasiatom
・ Quasicaecilia
・ Quasicircle
・ Quasiconcha
・ Quasiconformal mapping


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Quasi-split group : ウィキペディア英語版
Quasi-split group
In mathematics, a quasi-split group over a field is a reductive group with a Borel subgroup defined over the field. Simply connected quasi-split groups over a field correspond to actions of the absolute Galois group on a Dynkin diagram.
==Examples==
All split groups (those with a split maximal torus) are quasi-split. These correspond to quasi-split groups where the action of the Galois group on the Dynkin diagram is trivial.
showed that all simple algebraic groups over finite fields are quasi-split.
Over the real numbers, the quasi-split groups include the split groups and the complex groups, together with the orthogonal groups ''O''''n'',''n''+2, the unitary groups ''SU''''n'',''n'' and ''SU''''n'',''n''+1, and the form of ''E''6 with signature 2.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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