Quotient of Deligne-Lusztig varieties.

DOI10.1016/J.JALGEBRA.2013.01.032zbMath1300.20052arXiv1112.4942OpenAlexW2000333213MaRDI QIDQ375185

Olivier Dudas

Publication date: 28 October 2013

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

Full work available at URL: https://arxiv.org/abs/1112.4942

zbMATH Keywords

Schubert varietiesconnected reductive algebraic groupsDeligne-Lusztig varietiesDeodhar decompositions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Classical groups (algebro-geometric aspects) (14L35) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

Cohomology of Deligne-Lusztig varieties for unipotent blocks of 𝐺𝐿_{𝑛}(𝑞) ⋮ Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups. ⋮ Mod \(\ell\) cohomology of some Deligne-Lusztig varieties for \(\operatorname{GL}_n(q)\)

Cites Work

• Cohomology of Deligne-Lusztig varieties.
• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• Representations of reductive groups over finite fields
• Coxeter orbits and eigenspaces of Frobenius
• Derived categories and Deligne-Lusztig varieties.
• Étale chain complexes and Deligne-Lusztig curves
• Parabolic Deligne-Lusztig varieties
• Endomorphisms of Deligne-Lusztig Varieties
• Deligne-Lusztig restriction of a Gelfand-Graev module
• A Further Refinement of the Bruhat Decomposition
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