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Second cohomology space of $\mathfrak{sl}(2)$ acting on the space
of bilinear bidifferential operators
Volume 61, no. 1
(2020),
pp. 131–143
https://doi.org/10.33044/revuma.v61n1a08
Abstract
We consider the $\mathfrak{sl}(2)$-module structure on the spaces
of bilinear bidifferential operators acting on the spaces of weighted
densities.
We compute the second cohomology group of the Lie algebra
$\mathfrak{sl}(2)$ with coefficients in the space of bilinear
bidifferential operators that act on tensor densities
$\mathcal{D}_{\lambda,\nu,\mu}$.
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Published by the Unión Matemática Argentina |
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