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Finite good filtration dimension for modules over an algebra with good filtration

Wilberd van der Kallen
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Abstract

Let G be a connected reductive linear algebraic group over a field k of characteristic p>0. Let p be large enough with respect to the root system. We show that if a finitely generated commutative k-algebra A with G-action has good filtration, then any noetherian A-module with compatible G-action has finite good filtration dimension.

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BibTeXRIS

Wilberd van der Kallen. 2004-06-24. Finite good filtration dimension for modules over an algebra with good filtration. https://doi.org/10.1016/j.jpaa.2005.02.014

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