Unramified representations of reductive groups over finite rings

DOI10.1090/S1088-4165-09-00350-1zbMath1220.20043arXiv0808.1351MaRDI QIDQ3558892

Alexander Stasinski

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1351

zbMATH Keywords

irreducible representationsreductive group schemes over finite local rings

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group schemes (14L15)

Related Items (13)

A note on cusp forms and representations of \(\mathrm{SL}_2(\mathbb{F}_\mathrm{p})\) ⋮ Twisting operators and centralisers of Lie type groups over local rings ⋮ 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 ⋮ Reductive group schemes, the Greenberg functor, and associated algebraic groups ⋮ The cohomology of semi-infinite Deligne-Lusztig varieties ⋮ Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview ⋮ Cohomological representations of parahoric subgroups ⋮ Green functions and higher Deligne-Lusztig characters ⋮ The Drinfeld stratification for \(\mathrm{GL}_n\) ⋮ Affine Deligne-Lusztig varieties at infinite level ⋮ Arc-descent for the perfect loop functor and \(p\)-adic Deligne-Lusztig spaces

Cites Work

• 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
• Semisimple and cuspidal characters of gl_n(0)
• Schémas en groupes réductifs
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