Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Belkale-Kumar cup product and relative Lie algebra cohomology   We study the Belkale-Kumar family of cup products on the cohomology of a
generalized flag variety. We give an alternative construction of the family
using relative Lie algebra cohomology, and in particular, identify the
Belkale-Kumar cup product with a relative Lie algebra cohomology ring for every
value of the parameter. As a consequence, we extend a fundamental disjointness
result of Kostant to a family of Lie algebras. In an appendix, written jointly
with Edward Richmond, we extend a Levi movability result of Belkale and Kumar
to arbitrary parameters.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys