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arXiv · 1711.02112

On The Finite Generation Of Relative Cohomology For Lie Superalgebras

Andrew Maurer
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Abstract

The author establishes finite-generation of the cohomology ring of a classical Lie superalgebra relative to an even subsuperalgebra. A spectral sequence is constructed to provide conditions for when this relative cohomology ring is Cohen-Macaulay. With finite generation established, support varieties for modules are defined via the relative cohomology, which generalize those of [BKN-1]

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Andrew Maurer. 2017-11-06. On The Finite Generation Of Relative Cohomology For Lie Superalgebras. https://arxiv.org/abs/1711.02112

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