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

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

2004-05-13

arxiv.org/abs/math/0405238v2

Journal of Pure and Applied Algebra 206 (2006) 59-65

Mathematics

Representation Theory

8 pages; minor changes

Scientific paper

10.1016/j.jpaa.2005.02.014

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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