Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariants of Lie algebras   In this thesis new objects to the existing set of invariants of Lie algebras
are added. These invariant characteristics are capable of describing the
nilpotent parametric continuum of Lie algebras. The properties of these
invariants, in view of possible alternative classifications of Lie algebras,
are formulated and their behaviour on known lower--dimensional Lie algebras
investigated. It is demonstrated that these invariants, in view of their
application on graded contractions of sl(3,C), are also effective in higher
dimensions. A necessary contraction criterion involving these invariants is
derived and applied to lower--dimensional cases. Possible application of these
invariant characteristics to Jordan algebras is investigated.

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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn