A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical

DOI10.1007/BF01236661zbMath0924.20035OpenAlexW1964345772MaRDI QIDQ1288191

Gerhard Röhrle, Lutz Hille

Publication date: 10 November 1999

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236661

zbMATH Keywords

general linear groupsparabolic subgroupsalgebraic groupsnumbers of orbitsunipotent radicals

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

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Variation on a theme of Richardson., Prehomogeneous spaces for parabolic group actions in classical groups., Finite orbit modules for parabolic subgroups of exceptional groups., MOP—Algorithmic Modality Analysis for Parabolic Group Actions, The regularity of almost-commuting partial Grothendieck--Springer resolutions and parabolic analogs of Calogero--Moser varieties, Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of \(B\)-orbits, Staircase algebras and graded nilpotent pairs, \(\Delta\)-filtered modules and nilpotent orbits of a parabolic subgroup in \(\mathrm O_N\)., On the complement of the Richardson orbit., The Bruhat-Chevalley order of parabolic group actions in general linear groups and degeneration for \(\Delta\)-filtered modules, Commuting Varieties for Nilpotent Radicals, Nilpotent orbits for Borel subgroups of \(\mathrm{SO}_5(k)\), Finite parabolic conjugation on varieties of nilpotent matrices, Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups, QUASI-HEREDITARY ALGEBRAS ASSOCIATED WITH UPPER TRIANGULAR BIMODULES, Conjugacy classes in maximal parabolic subgroups of general linear groups, Algorithmic testing for dense orbits of Borel subgroups, Parabolic orbits of $2$-nilpotent elements for classical groups, Structure of centralizer matrix algebras, Orbits of parabolic subgroups on metabelian ideals., Parabolic conjugation and commuting varieties, Exceptional sequences and spherical modules for the Auslander algebra of \(k[x/(x^t)\)], On normal Abelian subgroups in parabolic groups, Quiver-graded Richardson orbits, On the nilradical of a parabolic subgroup

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