Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Universal Construction of Universal Deformation Formulas, Drinfel'd
  Twists and their Positivity   In this paper we provide an explicit construction of star products on
U(g)-module algebras by using the Fedosov approach. This construction allows us
to give a constructive proof to Drinfel'd theorem and to obtain a concrete
formula for Drinfel'd twist. We prove that the equivalence classes of twists
are in one-to-one correspondence with the second Chevalley-Eilenberg cohomology
of the Lie algebra g. Finally, we show that for Lie algebras with K\"ahler
structure we obtain a strongly positive universal deformation of *-algebras by
using a Wick-type deformation. This results in a positive Drinfel'd twist.

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The categories of this paper are: nlin
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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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: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int