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Koszul Duality for modules over Lie algebra

Tomasz Maszczyk·Andrzej Weber
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Abstract

Let $g$ be a reductive Lie algebra over a field of characteristic zero. Suppose $g$ acts on a complex of vector spaces $M$ by $i_λ$ and $L_λ$, which satisfy the identities as contraction and Lie derivative do for smooth differential forms. Out of this data one defines cohomology of the invariants and equivariant cohomology of $M$. We establish Koszul duality between each other.

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BibTeXRIS

Tomasz Maszczyk, Andrzej Weber. 2001-11-29. Koszul Duality for modules over Lie algebra. https://arxiv.org/abs/math/0101180

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