Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Lie algebra extensions via commutative structures   We consider some special type extensions of an arbitrary Lie algebra, which
we call universal extensions. We show that these extensions are in one-to-one
correspondence with finite dimensional associative commutative algebras. We
also construct a special kind of these extensions, that correspond to a finite
commutative monoids.

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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc