Integral exotic sheaves and the modular Lusztig–Vogan bijection
نویسندگان
چکیده
Let G $G$ be a reductive algebraic group over an algebraically closed field k $\mathbb {k}$ of pretty good characteristic. The Lusztig–Vogan bijection is between the set dominant weights for and irreducible -equivariant vector bundles on nilpotent orbits, conjectured by Lusztig Vogan independently, constructed in full generality Bezrukavnikov. In characteristic 0, this related to theory 2-sided cells affine Weyl group, plays key role proof Humphreys conjecture support varieties tilting modules quantum groups at root unity. paper, we prove that (in way made precise body paper) independent . This allows us extend all its known properties from characteristic-0 setting general case. We also expect result step towards positive
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2022
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12638