Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the Gutt Star Product: A strict Deformation Quantization   This work is the final version of my master thesis. Many, but not all of its
key results are already available as a preprint with Chiara Esposito and Stefan
Waldmann on arxiv.org under the title "Convergence of the Gutt Star Product",
which has been submitted to a journal. The main goal of this work is to
understand a certain deformation of the commutative product on the symmetric
tensor algebra over a given (locally convex) Lie algebra in a topological
setting. Therefore, the tensor algebra over the Lie algebra is topologized in a
locally convex manner. This finally provides a new example of a strict
deformation quantization, i.e. a continuous star product. The related formal
star product was found by Simone Gutt and is therefore called the Gutt star
product. Together with this star product, the symmetric tensor algebra is
isomorphic to the universal enveloping algebra of the Lie algebra. Hence, this
work also presents an explicit locally convex topology on the universal
enveloping algebra of certain locally convex Lie algebras. Since this
construction has good functorial properties, it is also an interesting object
of study not only in quantization and quantum group theory, but also in Lie
theory.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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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: physics
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin