Postulate 发表于 2025-3-26 22:10:27
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,Variations on a Casselman–Osborne Theme,are not and the published proofs were completely different from each other. First we give simple, pedestrian arguments for both results based on the same principle. Then we give a natural generalization of these results in the setting of derived categories.Longitude 发表于 2025-3-27 11:38:03
https://doi.org/10.1007/978-88-470-0374-3 algebras. Our main result is that if . is a Mackey Lie algebra and . is a dense subalgebra, then the monoidal category . is equivalent to . or .; the latter monoidal categories have been studied in detail in [.]. A possible choice of . is the well-known Lie algebra of generalized Jacobi matrices.细查 发表于 2025-3-27 13:37:57
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https://doi.org/10.1007/b138568As an application, effective bounds on the first cohomology of the symmetric group are obtained. We also show how, for finite Chevalley groups, our methods permit significant improvements over previous estimates for the dimensions of second cohomology groups.继而发生 发表于 2025-3-28 10:41:11
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