On homological properties of strict polynomial functors of degree p
نویسندگان
چکیده
We study the homological algebra in category Pp of strict polynomial functors degree p over a field positive characteristic p. determine decomposition matrix our and we calculate Ext-groups between important from point view representation theory. Our results include computations Ext-algebras simple Schur functors. observe that has Kazhdan-Lusztig theory show DG algebras computing for are formal. These last allow one to describe bounded derived as categories certain explicitly described graded algebras. also generalize all blocks p-weight 1 Pe e>p.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.11.015