Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum matrix ball: the Bergman kernel   In our preprint q-alg/9703005 q-analogues of bounded symmetric domains were
defined to be homogeneous spaces of the associated quantum groups. The
investigation of a simplest among those domains, the quantum matrix ball, was
started in math.QA/9803110. This work presents a construction of q-analogues
for Hardy-Bergman spaces of 'functions in those balls', together with an
explicit form of the Bergman kernel.
  Besides that, two auxiliary results are also established: a boundedness of
matrix balls is proved, and de Rham complexes of differential forms with finite
coefficients in those balls are constructed.

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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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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: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: nlin