Polynomial identities of bicommutative algebras, Lie and Jordan elements
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1461890
Abstract: ABSTRACT An algebra with identities a(bc) = b(ac), (ab)c = (ac)b is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for elements of a free bicommutative… read more here.
Keywords: polynomial identities; identities bicommutative; jordan elements; algebras lie ... See more keywords
Homotopy theory of complete Lie algebras and Lie models of simplicial sets
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Topology"
DOI: 10.1112/topo.12073
Abstract: In a previous work, by extending the classical Quillen construction to the non-simply connected case, we have built a pair of adjoint functors, 'model' and 'realization', between the categories of simplicial sets and complete differential… read more here.
Keywords: homotopy theory; lie algebras; simplicial sets; algebras lie ... See more keywords