Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Borel-Weil Theorem for the Quantum Grassmannians   We establish a noncommutative generalisation of the Borel-Weil theorem for
the Heckenberger-Kolb calculi of the quantum Grassmannians. The result is
formulated in the framework of quantum principal bundles and noncommutative
complex structures, and generalises previous work of a number of authors on
quantum projective space. As a direct consequence we get a novel noncommutative
differential geometric presentation of the twisted Grassmannian coordinate ring
studied in noncommutative projective geometry. A number of applications to the
noncommutative K\"ahler geometry of the quantum Grassmannians are also given.

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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc