On the structure of parabolic subgroups
From MaRDI portal
Publication:5895334
DOI10.1080/00927879008823931zbMath0717.20029OpenAlexW2109496082MaRDI QIDQ5895334
No author found.
Publication date: 1990
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879008823931
irreducible modulesChevalley groupLevi factorlower central seriesDynkin diagramunipotent radicalparabolic subgroupcompletely reducible K[L- modules]finite twisted groupfinite twisted groups of Lie typehigh weight modules
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)
Related Items
Parabolic subgroups with Abelian unipotent radical, Unipotent centralizers in algebraic groups., MOP—Algorithmic Modality Analysis for Parabolic Group Actions, Groups of even type which are not of even characteristic. I, Modules for algebraic groups with finitely many orbits on totally singular 2-spaces, Relative Springer isomorphisms., Semistable principal \(G\)-bundles in positive characteristic, Hall-Higman type theorems for exceptional groups of Lie type. I, Linear preservers and representations with a 1-dimensional ring of invariants, An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$, Cohomology of finite chevalley groups with coefficients in modules with 1-dimensional weight spaces, Outer unipotent classes in automorphism groups of simple algebraic groups, Subgroups of type \(A_1\) containing semiregular unipotent elements., Generalized Levi factor actions on the Lie algebra of an algebraic group, Modules for algebraic groups with finitely many orbits on subspaces, SIMPLE GROUPS STABILIZING POLYNOMIALS, Killing forms of isotropic Lie algebras, GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES, Subring subgroups in Chevalley groups with doubly laced root systems., Spinors and essential dimension, On the congruence kernel of isotropic groups over rings, Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩, Overgroup lattices in finite groups of Lie type containing a parabolic., Generation of finite almost simple groups by conjugates., Generation and random generation: from simple groups to maximal subgroups., Triangle generation of finite exceptional groups of low rank., Models of the Lie algebra \(F_4\), Chevalley groups of type \(E_7\) in the 56-dimensional representation., Simple irreducible subgroups of exceptional algebraic groups., Reducible subgroups of exceptional algebraic groups, On the chief factors of parabolic maximal subgroups in finite simple groups of normal Lie type., On computing joint invariants of vector fields, On the cohomology of the finite Chevalley groups, Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. I., On chief factors of parabolic maximal subgroups of the group \(^2E_6(q^2)\)., GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS, Jordan Blocks of Richardson Classes in the Classical Groups and the Bala-Carter Theorem#, Minuscule embeddings, Complete reducibility in good characteristic, On the chief factors of parabolic maximal subgroups of special finite simple groups of exceptional Lie type, On Non-Generic Finite Subgroups of Exceptional Algebraic Groups, Freudenthal triple systems by root system methods, Subgroups of Lie type groups containing the center of a unipotent radical., Subgroups of Lie type groups containing a unipotent radical., On base sizes for algebraic groups, Fuchsian groups, finite simple groups and representation varieties., Support varieties for modules over Chevalley groups and classical Lie algebras, Can one see the signs of structure constants?, Decompositions of congruence subgroups of Chevalley groups, A classification of certain finite double coset collections in the exceptional groups, On the chief factors of maximal parabolic subgroups of twisted classical groups., Cohomology of unipotent group schemes, On refinements of the Bruhat decomposition, ON LIE INDUCTION AND THE EXCEPTIONAL SERIES, On certain stabilizers in algebraic groups, Double coset density in classical algebraic groups, On chief factors of parabolic maximal subgroups of the group \({}^2F_4(2^{2n+1})\), Weight elements of Chevalley groups, $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$, Elementary subgroups of isotropic reductive groups, Visual Basic Representations, Overgroups of subsystem subgroups in exceptional groups: levels., Branching Schubert calculus and the Belkale-Kumar product on cohomology, On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilizers, $E_8$, the most exceptional group, Cross-characteristic character and fixed point space ratios for groups of Lie type, Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings, On normal Abelian subgroups in parabolic groups, The reductive subgroups of $F_4$, The Irreducible Subgroups of Exceptional Algebraic Groups, The reductive subgroups of G 2, Absolute Fourth Moments and Finiteness of Linear Groups, Defining \(k\) in \(G(k)\), Generic stabilizers for simple algebraic groups, Elementary subgroup of an isotropic reductive group is perfect, Long root tori in Chevalley groups, Basic reductions in the description of normal subgroups., Fourier coefficients of modular forms on \(G_2\)., Principal bundles on the projective line., PROJECTIVE SPECIAL LINEAR GROUPS PSL4(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES, A third look at weight diagrams
Cites Work
