Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after

DOI10.1007/s10958-016-3111-8zbMath1367.20056OpenAlexW2538050748MaRDI QIDQ503754

Nikolai A. Vavilov

Publication date: 23 January 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3111-8

zbMATH Keywords

decomposition of unipotentsmicroweight representationsweight diagrams

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) History of mathematics in the 21st century (01A61) Linear algebraic groups over adèles and other rings and schemes (20G35) History of group theory (20-03)

Related Items (3)

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chevalley groups of type \(E_7\) in the 56-dimensional representation.
• The Tits indices over semilocal rings.
• More variations on the decomposition of transvections.
• Yet another variation on the theme of decomposition of transvections.
• Overgroups of subsystem subgroups in exceptional groups: levels.
• Quadratic modules and the orthogonal group over polynomial rings
• On the word length of commutators in \(\text{GL}_n(R)\)
• On the length of commutators in Chevalley groups.
• On subgroups of split classical groups
• Chevalley groups over commutative rings. I: Elementary calculations
• A third look at weight diagrams
• \(K_{1}\) of Chevalley groups are nilpotent
• Decomposition of transvections: A theme with variations
• Calculations in exceptional groups over rings.
• Elementary subgroup of an isotropic reductive group is perfect
• ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma
• Commutator width in Chevalley groups
• THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
• Can one see the signs of structure constants?
• Normalizer of the Chevalley group of type ${\mathrm E}_6$
• $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$
• Elementary subgroups of isotropic reductive groups
• Numerology of square equations
• Bak's work on theK-theory of rings
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• Visual Basic Representations
• An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$
• AN A₃-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E₆ AND E₇
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

This page was built for publication: Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after