Bruhat decomposition for long root tori in Chevalley groups

DOI10.1007/BF01100112zbMath0746.20024MaRDI QIDQ1813249

A. A. Semenov, Nikolai A. Vavilov

Publication date: 25 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Chevalley groupBruhat decompositionlong root semisimple elementslong root torus

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Geometry of root elements in groups of type $\mathrm E_{6}$, Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\)., Big elements in irreducible linear groups., Big and small elements in Chevalley groups., Geometry of 1-tori in $\mathrm {GL}_n$, Weight elements of Chevalley groups, Long root tori in Chevalley groups

Cites Work

• Lectures on Chevalley Groups
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