Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arens-Michael envelopes of nilpotent Lie algebras, holomorphic functions
  of exponential type, and homological epimorphisms   Our aim is to give an explicit description of the Arens-Michael envelope for
the universal enveloping algebra of a finite-dimensional nilpotent complex Lie
algebra. It turns out that the Arens-Michael envelope belongs to a class of
completions introduced by R.~Goodman in 70s. To find a precise form of this
algebra we preliminary characterize the set of holomorphic functions of
exponential type on a simply connected nilpotent complex Lie group. This
approach leads to unexpected connections to Riemannian geometry and the theory
of order and type for entire functions.
  As a corollary, it is shown that the Arens-Michael envelope considered above
is a homological epimorphism. So we get a positive answer to a question
investigated earlier by Dosi and Pirkovskii.

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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol