33 citations · 66 across the 30 of their papers we have counts for
5 papers · 1 filter
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 $…
Nilpotent Sabinin algebras
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov
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,…
Hopf algebras in non-associative Lie theory
J. Mostovoy, J. M. Pérez-Izquierdo, I. P. Shestakov
We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many…
A comment on the integration of Leibniz algebras
Jacob Mostovoy
In this note we point out that the definition of the universal enveloping dialgebra for a Leibniz algebra is consistent with the interpretation of a Leibniz algebra as a generaliza…
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…