Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operad of formal homogeneous spaces and Bernoulli numbers   It is shown that for any morphism, i: g --> h, of Lie algebras the vector
space underlying the Lie algebra h is canonically a g-homogeneous formal
manifold with the action of g being highly nonlinear and twisted by Bernoulli
numbers. This fact is obtained from the study of a 2-coloured operad of formal
homogeneous spaces and its minimal resolution, and is used to give a new
conceptual explanation of both Ziv Ran's Jacobi-Bernoulli complex and
Fiorenza-Manetti's L-infinity algebra structure on the mapping cone of a
morphism of two Lie algebras. All these constructions are iteratively extended
to the case of a morphism of arbitrary L-infinity algebras.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex