Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie
  Superalgebras   In this paper we introduce generalized Spencer cohomology for finite depth
Z-graded Lie (super)algebras. We develop a method of finding filtered
deformations of such Z-graded Lie (super)algebras based on this cohomology. As
an application we determine all simple filtered deformations of certain
Z-graded Lie superalgebras classified in [K3], thus completing the last step in
the classification of simple infinite-dimensional linearly compact Lie
superalgebras.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin