Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending Enveloping Algebras via Anti-Cocommutative Elements   Anti-cocommutativity was introduced by Wang, Zhuang, Zhang (2013) in their
paper Coassociative Lie algebras. Since universal enveloping algebras of Lie
algebras are connected Hopf algebras, we extend enveloping algebras using the
notion of anti-cocommutative elements. This concept is the main focus of this
thesis. We separate the results (Chapter 4) into four parts: 1) Lie algebras
containing anti-cocommutative elements; 2) Extending enveloping algebras using
anti-cocommutative elements; 3) A global dimension problem for connected Hopf
algebras; 4) Properties of the antipode of some connected Hopf algebras.

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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn