Semi-modules and crystal bases via affine Deligne-Lusztig varieties

DOI10.1016/j.aim.2024.109565arXiv2212.12855MaRDI QIDQ6119809

Ryosuke Shimada

Publication date: 25 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.12855

zbMATH Keywords

Shimura varietiesaffine Deligne-Lusztig varietiescrystal bases

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Algebraic groups (14Lxx) Linear algebraic groups and related topics (20Gxx)

Cites Work

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• Foliations in deformation spaces of local \(G\)-shtukas
• Crystal bases of modified quantized enveloping algebra
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Irreducible components of minuscule affine Deligne-Lusztig varieties
• Irreducible components of affine Deligne-Lusztig varieties
• Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties
• Affine Deligne-Lusztig varieties and the action of 𝐽
• The dimension of some affine Deligne–Lusztig varieties
• SOME RESULTS ON AFFINE DELIGNE–LUSZTIG VARIETIES