Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bihamiltonian Reductions and W_n Algebras   We discuss the geometry of the Marsden-Ratiu reduction theorem for a
bihamiltonian manifold. We consider the case of the manifolds associated with
the Gel'fand-Dickey theory, i.e., loop algebras over sl(n+1). We provide an
explicit identification, tailored on the MR reduction, of the
Adler-Gel'fand-Dickey brackets with the Poisson brackets on the MR-reduced
bihamiltonian manifold N. Such an identification relies on a suitable immersion
of the space of sections of the cotangent bundle of N into the algebra of
pseudo differential operators connected to geometrical features of the theory
of (classical) W_n algebras.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: patt-sol