Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Can solvable extensions of a nilpotent subalgebra be useful in the
  classification of solvable algebras with the given nilradical?   We construct all solvable Lie algebras with a specific n-dimensional
nilradical n_{n,3} which contains the previously studied filiform nilpotent
algebra n_{n-2,1} as a subalgebra but not as an ideal. Rather surprisingly it
turns out that the classification of such solvable algebras can be reduced to
the classification of solvable algebras with the nilradical n_{n-2,1} together
with one additional case. Also the sets of invariants of coadjoint
representation of n_{n,3} and its solvable extensions are deduced from this
reduction. In several cases they have polynomial bases, i.e. the invariants of
the respective solvable algebra can be chosen to be Casimir invariants in its
enveloping algebra.

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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat