Chevalley groups of type E7 in the 56-dimensional representation
From MaRDI portal
Publication:4691773
DOI10.1007/s10958-011-0641-yzbMath1459.20038OpenAlexW2041134079MaRDI QIDQ4691773
Publication date: 24 October 2018
Published in: Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/timb3
Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over adèles and other rings and schemes (20G35)
Related Items (2)
Linear groups over general rings. I: Generalities. ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple commutator formulas.
- The Tits indices over semilocal rings.
- More variations on the decomposition of transvections.
- Relative unitary commutator calculus, and applications.
- Group actions and Helly's theorem
- Standard commutator formula.
- Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian
- Some multilinear forms with large isometry groups
- Automorphisms of \(\det (X_{ij}):\) The group scheme approach
- A module structure on certain orbit sets of unimodular rows
- Steinberg groups and simplicity of elementary groups defined by Jordan pairs
- Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability
- On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)
- On the word length of commutators in \(\text{GL}_n(R)\)
- Stability for quadratic \(K_1\)
- On the length of commutators in Chevalley groups.
- Do it yourself: the structure constants for Lie algebras of types \(E_l\)
- Chevalley groups over commutative rings. I: Elementary calculations
- \(K_{1}\) of Chevalley groups are nilpotent
- The fifty-six-dimensional module for \(E_ 7\). I: A four form for \(E_ 7\)
- Normality of the elementary subgroups of twisted Chevalley groups over commutative rings
- Elementary groups and stability for Jordan pairs
- Decomposition of transvections: A theme with variations
- Relative commutator calculus in Chevalley groups.
- Calculations in exceptional groups over rings.
- Chevalley groups over local rings
- On Grothendieck-Serre's conjecture concerning principalG-bundles over reductive group schemes: II
- Commutator width in Chevalley groups
- Elementary subgroups of isotropic reductive groups
- Bak's work on theK-theory of rings
- The 27-Dimensional Module for E 6 , III
- Relative subgroups in Chevalley groups
- Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings
- On algebraic groups defined by Jordan pairs
- On the Normal Subgroups of $G_2(A)$
- Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
- Visual Basic Representations
- Normality for elementary subgroup functors
- On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I
- 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
- Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
- Sur les sous-groupes arithmétiques des groupes semi-simples déployés
- On normal subgroups of Chevalley groups over commutative rings
- On normal subgroups of Chevalley groups over commutative rings
- On simply laced Lie algebras and their minuscule representations
This page was built for publication: Chevalley groups of type E7 in the 56-dimensional representation