Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of graded Lie algebras and symplectic structures   We study symplectic structures on filiform Lie algebras -- nilpotent Lie
algebras of the maximal length of the descending central sequence. In the
present article we classify the Lie algebras with the structure relations of
the following form: $$[e_i,e_j]=(j-i)e_{i+j}+\sum_{l{=}1}c_{ij}^l e_{i+j+l},
i+j \le n.$$ In even dimensions the subspace of symplectic Lie algebras has the
codimension one.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph