Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graded Lie algebras of type FP   It will be shown that every N-graded Lie algebra generated in degree 1 of
type FP with entropy less or equal to 1 must be finite-dimensional (cf. Thm.
A). As a consequence every Koszul Lie algebra with entropy less or equal to 1
must be abelian (cf. Cor. C). These results are obtained from a generalized
Witt formula (cf. Thm. D) for N-graded Lie algebras of type FP and the analysis
of necklace polynomials at roots of unity.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio