On the coadjoint orbits of maximal unipotent subgroups of reductive groups.

DOI10.1007/S00031-015-9318-9zbMath1348.20053arXiv1409.4591OpenAlexW1639830652MaRDI QIDQ292173

Simon M. Goodwin, Gerhard Röhrle, Peter Mosch

Publication date: 10 June 2016

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

Full work available at URL: https://arxiv.org/abs/1409.4591

zbMATH Keywords

modalitycoadjoint orbitsreductive pairssimple algebraic groupscomplex charactersunipotent conjugacy classes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Software, source code, etc. for problems pertaining to group theory (20-04) Coadjoint orbits; nilpotent varieties (17B08) Structure theory for linear algebraic groups (20G07)

Related Items (9)

Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups ⋮ On commuting varieties of parabolic subalgebras ⋮ On the characters of the Sylow -subgroups of untwisted Chevalley groups ⋮ Commuting Varieties for Nilpotent Radicals ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ Character tables of Sylow p-subgroups of the Steinberg triality groups ³D₄(q³) ⋮ The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E₈ ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂

Uses Software

• GAP
• SINGULAR

Cites Work

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• Combinatorial methods of character enumeration for the unitriangular group.
• On the character degrees of Sylow \(p\)-subgroups of Chevalley groups \(G(p^f)\) of type \(E\).
• Reduction for characters of finite algebra groups.
• Characters of the Sylow \(p\)-subgroups of the Chevalley groups \(D_4(p^n)\).
• Exotic characters of unitriangular matrix groups.
• Calculating conjugacy classes in Sylow \(p\)-subgroups of finite Chevalley groups.
• On the conjugacy classes in maximal unipotent subgroups of simple algebraic groups.
• The orbit method for profinite groups and a \(p\)-adic analogue of Brown's theorem.
• Computing character degrees in p-groups
• Proof of Springer's hypothesis
• On the modality of parabolic subgroups of linear algebraic groups
• Algorithmic modality analysis for parabolic groups
• A note on the modality of parabolic subgroups
• Conjugacy classes in unitriangular matrices.
• Characters of groups associated with finite algebras
• Relative Springer isomorphisms.
• Counting characters of upper triangular groups.
• Conjugacy classes in Lie algebras and algebraic groups
• Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
• The number of conjugacy classes in pattern groups is not a polynomial function
• Character Table of a Borel Subgroup of the Ree Groups ²F₄(q²)
• Enumerating p -Groups. I: Inequalities
• Étale Slices for Algebraic Transformation Groups in Characteristic p
• Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras
• Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven
• SINGULAR
• Conjugacy Classes in Sylowp-Subgroups of Finite Chevalley Groups in Bad Characteristic

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