Bruhat decomposition for subgroups containing the group of diagonal matrices

DOI10.1007/BF01094367zbMath0529.20029OpenAlexW2057822652MaRDI QIDQ787284

Nikolai A. Vavilov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01094367

zbMATH Keywords

rootsgeneral linear groupdiagonal subgroupreduced Bruhat decomposition

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Related Items (4)

Subgroups of split orthogonal groups ⋮ On the lattice of subgroups of chevalley groups containing a split maximal torus ⋮ Linear groups ⋮ Bruhat decomposition for subgroups containing the group of diagonal matrices. II

Cites Work

• Subgroups of finite groups of Lie type
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• On normal subgroups of Chevalley groups over commutative rings
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