Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: De Rham Cohomology and Hodge decomposition for Quantum Groups   Let G=G(t,z) be one of the N^2-dimensional bicovariant first order
differential calculi for the quantum groups GL_q(N), SL_q(N), O_q(N), or
Sp_q(N), where q is a transcendental complex number and z is a regular
parameter. It is shown that the de Rham cohomology of Woronowicz' external
algebra G^ coincides with the de Rham cohomologies of its left-coinvariant, its
right-coinvariant and its (twosided) coinvariant subcomplexes. In the cases
GL_q(N) and SL_q(N) the cohomology ring is isomorphic to the coinvariant
external algebra G^_{inv} and to the vector space of harmonic forms. We prove a
Hodge decomposition theorem in these cases. The main technical tool is the
spectral decomposition of the quantum Laplace-Beltrami operator.
  Keywords: quantum groups, bicovariant differential calculi, de Rham
cohomology, Laplace-Beltrami operator, Hodge theory

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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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: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: cs