On graded representations of modular Lie algebras over commutative algebras
نویسندگان
چکیده
We develop the theory of a category CA which is generalisation to non-restricted g-modules famously studied by Andersen, Jantzen and Soergel for restricted g-modules, where g Lie algebra reductive group G over an algebraically closed field K characteristic p>0. Its objects are certain graded bimodules. On left, they modules Uχ associated χ∈g⁎ in standard Levi form. right, commutative Noetherian S(h)-algebra A, h maximal torus G. define here important ZA,χ(λ), QA,χI(λ) QA,χ(λ) generalise familiar when A=K, we prove some key structural results regarding them.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107033