Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Jacob Mostovoy"'
Autor:
Jacob Mostovoy
Publikováno v:
International Mathematics Research Notices. 2022:196-209
In this note, we interpret Leibniz algebras as differential graded (DG) Lie algebras. Namely, we consider two fully faithful functors from the category of Leibniz algebras to that of DG Lie algebras and show that they naturally give rise to the Leibn
Autor:
Jacob Mostovoy
We define a homology theory for pre-crossed modules that specifies to rack homology in the case when the pre-crossed module is freely generated by a rack.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a99ac84a5125b0658a35ab852b58e406
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We show that a torsion-free nilpotent loop (that is, a loop nilpotent with respect to the dimension filtration) has a torsion-free nilpotent left multiplication group of, at most, the same class. We also prove that a free loop is residually torsion-f
Autor:
Jacob Mostovoy
Publikováno v:
Archiv der Mathematik. 113:229-235
We show that for each $$n\in {\mathbb {N}}$$ the pure cactus group $$\Gamma _{n+1}$$ embeds into a right-angled Coxeter group and, therefore, is residually nilpotent. In addition, we construct an explicit residually torsion-free nilpotent subgroup of
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We address the problem of constructing the non-associative version of the Dynkin form of the Baker-Campbell-Hausdorff formula; that is, expressing $\log (\exp (x)\exp(y))$, where $x$ and $y$ are non-associative variables, in terms of the Shestakov-Um
Autor:
Joaquin Maya, Jacob Mostovoy
In this, largely expository, note, we show how the simplicial structure of the moduli spaces of stable rational curves with marked points allows to produce explicit equations for these spaces. The key argument is an elementary combinatorial statement
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf7db780bca06dbe1104afd94008a70d
http://arxiv.org/abs/1906.05223
http://arxiv.org/abs/1906.05223
Publikováno v:
RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
RIUR: Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
instname
RIUR: Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
In this note we establish several basic properties of nilpotent Sabinin algebras. Namely, we show that nilpotent Sabinin algebras (1) can be integrated to produce nilpotent loops, (2) satisfy an analogue of the Ado theorem, (3) have nilpotent Lie env
Autor:
Jacob Mostovoy
We interpret augmented racks as a certain kind of multiplicative graphs and show that this point of view is natural for defining rack homology. We also define the analogue of the group algebra for these objects; in particular, we see how discrete rac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a4bd64fad52cc7962096c7d82e37279
http://arxiv.org/abs/1707.01787
http://arxiv.org/abs/1707.01787
Autor:
Rustam Sadykov, Jacob Mostovoy
Publikováno v:
Fundamenta Mathematicae. 217:279-282
We show that for an m-connected cell complex X the space exp_k X of non-empty subsets of X of cardinality at most k is (m + k - 2)-connected
Comment: 2 pages
Comment: 2 pages
Publikováno v:
RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
Transformation Groups
instname
Transformation Groups
We describe the general nonassociative version of Lie theory that relates unital formal multiplications (formal loops), Sabinin algebras and nonassociative bialgebras. Starting with a formal multiplication we construct a nonassociative bialgebra, nam