Unipotent elements in small characteristic. III. (With an appendix with T. Xue).

DOI10.1016/j.jalgebra.2009.12.008zbMath1243.20061OpenAlexW2088964133MaRDI QIDQ549996

George Lusztig

Publication date: 19 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.12.008

zbMATH Keywords

nilpotent elementsspecial orthogonal groupsunipotent elementsunipotent classesunipotent piecesreductive connected algebraic groupsvarieties of Borel subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Étale and other Grothendieck topologies and (co)homologies (14F20) Lie algebras of linear algebraic groups (17B45) Cohomology theory for linear algebraic groups (20G10)

Related Items (10)

Pieces of nilpotent cones for classical groups ⋮ From conjugacy classes in the Weyl group to unipotent classes, II ⋮ Irreducible modules of \(\mathfrak{sl}_{mp}\) in characteristic \(p\) with regular or subregular nilpotent \(p\)-characters ⋮ The nullcone of the Lie algebra of \(G_2\) ⋮ On unipotent and nilpotent pieces for classical groups. ⋮ The Hesselink stratification of nullcones and base change. ⋮ Cycle indices for finite orthogonal groups of even characteristic ⋮ Nilpotent pieces in the dual of odd orthogonal Lie algebras ⋮ Generalised Gelfand-Graev representations in bad characteristic ? ⋮ On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type \(G_2, F_4\), and \(E_6\)

Cites Work

• Unipotent elements in small characteristic.
• Unipotent elements in small characteristic. II.
• The Steinberg function of a finite Lie algebra
• Notes on unipotent classes
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Endomorphisms of linear algebraic groups

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