Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Burgunder, Emily"'
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an operad is not free. The proof holds on defining a non-vanishing linear operation in the pre-Lie algebra which is zero in any operad.
Externí odkaz:
http://arxiv.org/abs/1702.01949
In 2008, Loday shed light on the existence of Hopf-Boreltheorems for operads. Using the vocabulary of category theory, Livernet,Mesablishvili and Wisbauer extended such theorems to monads. In bothcases, the reasoning was to start from a mixed distrib
Externí odkaz:
http://arxiv.org/abs/1701.01323
Autor:
Burgunder, Emily, Ronco, Maria
We extend the definition of tridendriform bialgebra by introducing a weight q. The subspace of primitive elements of a q-tridendriform bialgebra is equipped with an associative product and a natural structure of brace algebra, related by a distributi
Externí odkaz:
http://arxiv.org/abs/0910.0403
Autor:
Burgunder, Emily
Kontsevich has proven that the Lie homology of the Lie algebra of symplectic vector fields can be computed in terms of the homology of a graph complex. We prove that the Leibniz homology of this Lie algebra can be computed in terms of the homology of
Externí odkaz:
http://arxiv.org/abs/0804.2052
Autor:
Burgunder, Emily, Holtkamp, Ralf
Publikováno v:
Homology, Homotopy Appl. 10 (2008), no.2, 59-81
A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are subsets of the set of positive integers, is a vector space endowed with an n-ary operation for each n in S and an m-ary co-operation for each m in T satisfying some compatib
Externí odkaz:
http://arxiv.org/abs/0708.4191
Autor:
Burgunder, Emily
By using the interplay of the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution (F,G) of the first equation of the Kashiwara-Vergne conjecture: x+y-log(exp(y)exp(x))=(1-exp(-ad x))F(x,y)+(exp(ad y)
Externí odkaz:
http://arxiv.org/abs/math/0612548
Autor:
Burgunder, Emily
An infinite magmatic bialgebra is a vector space endowed with an n-ary operation, and an n-ary cooperation, for each n, verifying some compatibility relations. We prove a rigidity theorem, analogue to the Hopf-Borel theorem for commutative bialgebras
Externí odkaz:
http://arxiv.org/abs/math/0601068
Publikováno v:
In Journal of Algebra 1 October 2017 487:20-59
