Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie Atoms and their deformation theory   A Lie atom is essentially a pair of Lie algebras and its deformation theory
is that of deformations with respect to one algebra together with a
trivialization with respect to the other. Such deformations occur commonly in
Algebraic Geometry, for instance as deformations of subvarieties of a fixed
ambient variety. Here we study some basic notions related to Lie atoms,
focussing especially on their deformation theory, in particular the universal
deformation. We introduce Jacobi-Bernoulli cohomology, which yields the
deformation ring, and show that, under suitable hypotheses, infinitesimal
deformations are classified by certain Kodaira-Spencer data.(minor corrections
Feb'06/May'07; paper is to appear in GAFA)

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex