More variations on the decomposition of transvections.

DOI10.1007/s10958-010-0137-1zbMath1215.20048OpenAlexW2054634874MaRDI QIDQ547244

Nikolai A. Vavilov, V. G. Kazakevich

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0137-1

zbMATH Keywords

parabolic subgroupsinner automorphismselementary matricesclassical groupsChevalley groupsstandard automorphismslinear groupsdecompositions of unipotent elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25)

Related Items (9)

Decomposition of transvections: An algebro-geometric approach ⋮ Linear groups over general rings. I: Generalities. ⋮ Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited ⋮ Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮ Sandwich classification for \(O_{2n+1}(R)\) and \(U_{2n+1}(R,\Delta)\) revisited ⋮ Chevalley groups of type E7 in the 56-dimensional representation ⋮ Calculations in exceptional groups, an update. ⋮ ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma ⋮ The reverse decomposition of unipotents for bivectors

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• AN A₃-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E₆ AND E₇
• Stable sandwich classification theorem for classical-like groups

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