Character sheaves for classical graded Lie algebras

DOI10.1007/s10114-023-2079-9arXiv2202.05831OpenAlexW4387695454MaRDI QIDQ6151786

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Publication date: 11 March 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05831

zbMATH Keywords

Fourier transformgraded Lie algebrascharacter sheavesnilpotent orbits

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

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• Epipelagic representations and rigid local systems
• Intersection cohomology complexes on a reductive group
• Semilinear automorphisms of classical groups and quivers
• Character sheaves for graded Lie algebras: stable gradings
• Study of antiorbital complexes
• ℤ/𝕞ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra
• Character sheaves for classical symmetric pairs
• Microlocal characterization of Lusztig sheaves for affine quivers and 𝑔-loops quivers
• Character sheaves for symmetric pairs: Special linear groups

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