Formulas for the dimensions of some affine Deligne-Lusztig varieties

DOI10.1307/mmj/1091112084zbMath1053.22010arXivmath/0303146OpenAlexW1973202082MaRDI QIDQ1884414

Daniel C. Reuman

Publication date: 1 November 2004

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303146

zbMATH Keywords

loop groupsDeligne-Lusztig varieties

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Other algebraic groups (geometric aspects) (14L40)

Related Items (7)

Affine Deligne-Lusztig varieties associated to additive affine Weyl group elements. ⋮ Maximal Newton points and the quantum Bruhat graph ⋮ Class polynomials for some affine Hecke algebras. ⋮ Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case. ⋮ Dimensions of some affine Deligne–Lusztig varieties ⋮ The dimension of some affine Deligne–Lusztig varieties ⋮ Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators

Cites Work

• Fixed point varieties on affine flag manifolds
• Representations of reductive groups over finite fields
• On the existence of \(F\)-crystals
• A positivity property of the Satake isomorphism
• Reductive groups over a local field
• Orbital Integrals on GL 3
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
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