Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From simplicial Lie algebras and hypercrossed complexes to differential
  graded Lie algebras via 1-jets   Let g be a simplicial Lie algebra with Moore complex Ng of length k. Let G be
the simplicial Lie group integrating g, which is simply connected in each
simplicial level. We use the 1-jet of the classifying space of G to construct,
starting from g, a Lie k-algebra L. The so constructed Lie k-algebra L is
actually a differential graded Lie algebra. The differential and the brackets
are explicitly described in terms (of a part) of the corresponding
k-hypercrossed complex structure of Ng. The result can be seen as a geometric
interpretation of Quillen's (purely algebraic) construction of the adjunction
between simplicial Lie algebras and dg-Lie algebras.

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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
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: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th