Reductive group schemes, the Greenberg functor, and associated algebraic groups

DOI10.1016/j.jpaa.2011.10.027zbMath1255.14038arXiv1003.3598OpenAlexW2061755057MaRDI QIDQ436089

Alexander Stasinski

Publication date: 30 July 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3598

zbMATH Keywords

linear algebraic groupsmaximal toriGreenberg functorsmooth group schemes

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group schemes (14L15)

Related Items

The Greenberg functor revisited, The algebraisation of higher Deligne-Lusztig representations, Extended Deligne-Lusztig varieties for general and special linear groups., Generic character sheaves on reductive groups over a finite ring, Cohomological representations of parahoric subgroups, Regular characters of classical groups over complete discrete valuation rings, Flags and orbits of connected reductive groups over local rings

Cites Work

• Extended Deligne-Lusztig varieties for general and special linear groups.
• Representations of reductive groups over finite fields
• Regular elements and regular characters of \(GL_ n({\mathcal O})\)
• Schemata over local rings. II
• Schemata over local rings
• Unramified representations of reductive groups over finite rings
• Néron Models
• The Geometry of Schemes
• Schémas en groupes réductifs
• Endomorphisms of linear algebraic groups
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