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- W2950344527 abstract "Let G = GL N or SL N as reductive linear algebraic group over a field k of characteristic p > 0. We prove several results that were previously established only when N ⩽ 5 or p > 2 N : Let G act rationally on a finitely generated commutative k-algebra A and let grA be the Grosshans graded ring. We show that the cohomology algebra H *(G, grA) is finitely generated over k. If moreover A has a good filtration and M is a Noetherian A-module with compatible G action, then M has finite good filtration dimension and the H i (G, M) are Noetherian A G -modules. To obtain results in this generality, we employ functorial resolution of the ideal of the diagonal in a product of Grassmannians." @default.
- W2950344527 created "2019-06-27" @default.
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- W2950344527 date "2009-04-29" @default.
- W2950344527 modified "2023-09-26" @default.
- W2950344527 title "Finite Schur filtration dimension for modules over an algebra with Schur filtration" @default.
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- W2950344527 doi "https://doi.org/10.1007/s00031-009-9054-0" @default.
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