Flags and orbits of connected reductive groups over local rings

DOI10.1007/s00208-019-01943-zzbMath1481.22020arXiv1904.00769OpenAlexW2993955585WikidataQ126593404 ScholiaQ126593404MaRDI QIDQ2308335

Zhe Chen

Publication date: 3 April 2020

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

Full work available at URL: https://arxiv.org/abs/1904.00769

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (2)

Twisting operators and centralisers of Lie type groups over local rings ⋮ The Drinfeld stratification for \(\mathrm{GL}_n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reductive group schemes, the Greenberg functor, and associated algebraic groups
• Extended Deligne-Lusztig varieties for general and special linear groups.
• Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two.
• Characters of finite reductive Lie algebras
• Representations of reductive groups over finite fields
• Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings
• Fourier transforms on invariant functions on finite reductive Lie algebras
• Regular elements and regular characters of \(GL_ n({\mathcal O})\)
• The algebraisation of higher Deligne-Lusztig representations
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• A jordan decomposition of representations forGL_n(O)
• A multiplicity one theorem for groups of type 𝐴_{𝑛} over discrete valuation rings
• The regular representations of GLN over finite local principal ideal rings
• Pseudo-reductive Groups
• On cuspidal representations of general linear groups over discrete valuation rings

This page was built for publication: Flags and orbits of connected reductive groups over local rings