On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups.

DOI10.1007/s00209-010-0776-4zbMath1246.20040arXiv1001.4001OpenAlexW2064841494MaRDI QIDQ658325

Jiang-Hua Lu

Publication date: 12 January 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4001

zbMATH Keywords

Weyl groupsBorel subgroupstwisted conjugacy classesspherical varietiesBruhat decompositionsconnected semisimple algebraic groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Simple, semisimple, reductive (super)algebras (17B20) Compactifications; symmetric and spherical varieties (14M27)

Related Items (5)

A Katsylo theorem for sheets of spherical conjugacy classes ⋮ On the orbits of a Borel subgroup in abelian ideals ⋮ On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups ⋮ On the \(T\)-leaves of some Poisson structures related to products of flag varieties ⋮ On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes

Cites Work

• Unnamed Item
• Unnamed Item
• On intersections of conjugacy classes and Bruhat cells.
• On the coordinate ring of spherical conjugacy classes.
• Twisted conjugacy in simply connected groups.
• Spherical conjugacy classes and involutions in the Weyl group
• Group orbits and regular partitions of Poisson manifolds
• Spherical orbits and representations of \(\mathcal U_{\varepsilon}(\mathfrak g)\)
• A classification of unipotent spherical conjugacy classes in bad characteristic

This page was built for publication: On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups.