Given a finite dimensional Lie algebra , let be the augmentation ideal in the universal enveloping algebra . We study the conditions on under which the -groups for the trivial -module are the same when computed in the category of all -modules or in the category of -torsion -modules. An application to cohomology of equivariant sheaves is given.
"A note on Lie algebra cohomology." Algebra Number Theory 15 (3) 773 - 783, 2021. https://doi.org/10.2140/ant.2021.15.773