Decomposition of transvections: An algebro-geometric approach

DOI10.1090/spmj/1440zbMath1359.20030OpenAlexW2558027001MaRDI QIDQ3178722

Victor Petrov

Publication date: 7 December 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1440

zbMATH Keywords

minuscule representationsdecomposition of unipotents

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (4)

Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited ⋮ Sandwich classification for \(O_{2n+1}(R)\) and \(U_{2n+1}(R,\Delta)\) revisited ⋮ Towards the reverse decomposition of unipotents ⋮ The reverse decomposition of unipotents for bivectors

Cites Work

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• More variations on the decomposition of transvections.
• Decomposition of transvections for automorphisms.
• Motivic decomposition of isotropic projective homogeneous varieties
• Chevalley groups over commutative rings. I: Elementary calculations
• A third look at weight diagrams
• Decomposition of transvections: A theme with variations
• Basic reductions in the description of normal subgroups.
• On motivic decompositions arising from the method of Białynicki-Birula
• An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$

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