2 citations · 2 across the 3 of their papers we have counts for
5 papers
The loop of formal power series with noncommutative coefficients under substitution
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 de…
A Non-associative Baker-Campbell-Hausdorff formula
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov
We address the problem of constructing the non-associative version of the Dynkin form of the Baker-Campbell-Hausdorff formula; that is, expressing , where $…
Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions
José M. Pérez-Izquierdo, I. P. Shestakov
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 octonion…
Formal multiplications, bialgebras of distributions and non-associative Lie theory
J. Mostovoy, J. M. Pérez-Izquierdo
We describe the general non-associative version of Lie theory that relates unital formal multiplications (formal loops), Sabinin algebras and non-associative bialgebras. Starting w…
Dimension filtration on loops
J. Mostovoy, J. M. Pérez-Izquierdo
We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero.…