Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after
type: Item
instance of: scholarly article
title: Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after
zbMATH Open document ID: 1367.20056
author: Nikolai Vavilov
published in: Journal of Mathematical Sciences (New York)
publication date: 2017-01-23T00:00:00Z
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20-03
Mathematics Subject Classification ID: 01A61
zbMATH DE Number: 6676847
zbMATH Keywords: decomposition of unipotents
zbMATH Keywords: microweight representations
zbMATH Keywords: weight diagrams
MaRDI profile type: Publication
full work available at URL: s10958-016-3111-8
OpenAlex ID: W2538050748
cites work: Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
cites work: Commutator width in Chevalley groups.
cites work: \(K_{1}\) of Chevalley groups are nilpotent
cites work: Bak's work on theK-theory of rings
cites work: THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
cites work: Elementary subgroup of an isotropic reductive group is perfect.
cites work: Sur les sous-groupes arithmétiques des groupes semi-simples déployés
cites work: Elementary subgroups of isotropic reductive groups
cites work: The Tits indices over semilocal rings.
cites work: Visual Basic Representations
cites work: On the word length of commutators in \(\text{GL}_n(R)\)
cites work: Q4187969
cites work: Yet another variation on the theme of decomposition of transvections.
cites work: Chevalley groups of type \(E_7\) in the 56-dimensional representation.
cites work: Decomposition of transvections: A theme with variations
cites work: On the length of commutators in Chevalley groups.
cites work: Q4124941
cites work: Quadratic modules and the orthogonal group over polynomial rings
cites work: Q3737654
cites work: On subgroups of split classical groups
cites work: Q4271238
cites work: A third look at weight diagrams
cites work: AN A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7
cites work: Can one see the signs of structure constants?
cites work: Numerology of square equations
cites work: \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). II: Main lemma.
cites work: Normalizer of the Chevalley group of type ${\mathrm E}_6$
cites work: An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$
cites work: Q5470673
cites work: More variations on the decomposition of transvections.
cites work: Q3444771
cites work: Calculations in exceptional groups over rings.
cites work: $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$
cites work: Overgroups of subsystem subgroups in exceptional groups: levels.
cites work: Chevalley groups over commutative rings. I: Elementary calculations
cites work: Q4712641
DOI: 10.1007/S10958-016-3111-8
description: scientific article; zbMATH DE number 6676847