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pro vyhledávání: '"José M. Pérez-Izquierdo"'
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
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:
José M. Pérez-Izquierdo, A. Grishkov
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 develop Lie's correspondence for commutative automorphic formal loops, which are natural candidates for non-associative abelian groups, to show how linearization techniques based on Hopf algebras can be applied to study non-linear structures. Over
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc52d6aec9e472e2b7adcc5909325a52
Autor:
José M. Pérez-Izquierdo
The set of formal power series with coefficients in an associative but noncommutative algebra becomes a loop with the substitution product. We initiate the study of this loop by describing certain Lie and Sabinin algebras related to it. Some examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7bfa4b8f8dc0417dd3e6a6b6c15d198
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
By means of graphical calculus we prove that, over fields of characteristic zero, any bialgebra deformation of the universal enveloping algebra of the algebra of traceless octonions satisfying the dual of the left and right Moufang identities must be
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
Publikováno v:
Journal of Algebra. 359:104-119
In 2002, T.L. Hodge and B.J. Parshall [7] overviewed the representation theory of Lie triple systems (Lts for short). They proved that finite-dimensional modules of Lts in the sense of Harris (1961) [5] can be described by using involutory modules of
Publikováno v:
Communications in Algebra. 40:1009-1018
The purpose of this brief note is to prove that any coassociative bialgebra deformation of the universal enveloping algebra of the seven dimensional central simple exceptional Malcev algebra over a field of characteristic zero is cocommutative.
Publikováno v:
Communications in Algebra. 38:2843-2850
We prove that there are no simple commutative n-ary Leibniz algebras of arbitrary dimension over fields of characteristic zero or greater than n. This result extends previous work of Pojidaev and Elduque.
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