Lower central series of free algebras in symmetric tensor categories.
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Publication:2377437
DOI10.1016/j.jalgebra.2012.10.001zbMath1276.16017arXiv1001.1375OpenAlexW1976680658MaRDI QIDQ2377437
Publication date: 2 July 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.1375
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Abelian categories, Grothendieck categories (18E10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Filtered associative rings; filtrational and graded techniques (16W70)
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Cites Work
- New results on the lower central series quotients of a free associative algebra.
- Quantization of coboundary Lie bialgebras
- On universal Lie nilpotent associative algebras.
- On \([A,A/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras.]
- An Upper Bound for the Lower Central Series Quotients of a Free Associative Algebra
- IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
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