Jacobi-Trudi algebras are nil-Koszul and their dominant simple modules admit BGG resolutions that restrict to resolutions of Specht modules by permutation modules.
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Proves equivalence between smoothness of a rigid analytic variety and smoothness of its nuclear sheaves category in a six-functor formalism, relates compact generation to algebraization, and gives an example of a non-atomically generated internally smooth category.
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BGG resolutions, Koszulity, and stratifications, part II: the Jacobi-Trudi algebra
Jacobi-Trudi algebras are nil-Koszul and their dominant simple modules admit BGG resolutions that restrict to resolutions of Specht modules by permutation modules.
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Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
Proves equivalence between smoothness of a rigid analytic variety and smoothness of its nuclear sheaves category in a six-functor formalism, relates compact generation to algebraization, and gives an example of a non-atomically generated internally smooth category.