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) |
|---|---|
| Pages (from-to) | 103-146 |
| Number of pages | 44 |
| Journal | Inventiones Mathematicae |
| Volume | 113 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 1993 |