Spherical birational sheets in reductive groups

DOI10.1016/j.jalgebra.2021.07.036OpenAlexW3194617817MaRDI QIDQ1984363

Filippo Ambrosio, Mauro Costantini

Publication date: 16 September 2021

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

Full work available at URL: https://arxiv.org/abs/2008.13508

zbMATH Keywords

spherical conjugacy classesbirational sheets

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Intersection cohomology complexes on a reductive group
• Induced nilpotent orbits and birational geometry
• On the coordinate ring of spherical conjugacy classes.
• On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits
• Complexity of action of reductive groups
• Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)
• Closures of conjugacy classes of matrices are normal
• Über Schichten halbeinfacher Lie-Algebren
• Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
• The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
• Birational sheets in reductive groups
• Lusztig's partition and sheets (with an appendix by M. Bulois)
• Spherical orbits and representations of \(\mathcal U_{\varepsilon}(\mathfrak g)\)
• Centres of centralizers of unipotent elements in simple algebraic groups
• On Sheets of Conjugacy Classes in Good Characteristic
• On the dimension of the sheets of a reductive Lie algebra
• Induced Unipotent Classes
• On SL ₂ -actions of complexity one

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