Abstract
The paper provides a homological algebraic foundation for semi-infinite cohomology. It is proved that semi-infinite cohomology of infinite dimensional Lie algebras is a two-sided derived functor of a functor that is intermediate between the functors of invariants and coinvariants. The theory of two-sided derived functors is developed. A family of modules including a module generalizing the universal enveloping algebra appropriate to the setting of two sided derived functors is introduced. A vanishing theorem for such modules is proved.
Original language | English (US) |
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Pages (from-to) | 103-146 |
Number of pages | 44 |
Journal | Inventiones Mathematicae |
Volume | 113 |
Issue number | 1 |
DOIs | |
State | Published - Dec 1993 |