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27 April 2024
 
  » arxiv » math.AG/0101180

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Koszul Duality for modules over Lie algebra
Tomasz Maszczyk ; Andrzej Weber ;
Date 22 Dec 2000
Subject Algebraic Geometry | math.AG
AbstractLet $g$ be a reductive Lie algebra over a field of characteristic zero. Suppose $g$ acts on a complex of vector spaces $M$ by $i_lambda$ and $L_lambda$, 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.
Source arXiv, math.AG/0101180
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