Abstract
We show that the Dirac cohomology coincides with nilpotent Lie algebra (co)homology up to a twist of a one-dimensional character for simple highest weight modules. As a consequence, we determine the Dirac cohomology of simple highest weight modules explicitly.
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The research described in this paper is supported by research grants from the Research Grant Council of Hong Kong SAR, China.
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Huang, JS., Xiao, W. Dirac cohomology of highest weight modules. Sel. Math. New Ser. 18, 803–824 (2012). https://doi.org/10.1007/s00029-011-0085-8
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DOI: https://doi.org/10.1007/s00029-011-0085-8