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On The Finite Generation Of Relative Cohomology For Lie Superalgebras
Published 6 Nov 2017 in math.RT | (1711.02112v2)
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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