3 papers
math.RA2017
Hyporeductive and Pseudoreductive Hopf algebras
J. M. Pérez-Izquierdo
In his generalization of reductive homogeneous spaces, Lev Sabinin showed that Lie's fundamental theorems hold for local analytic hyporeductive and pseudoreductive loops. We derive…
math.RT2015
Linear representations of formal loops
S. Madariaga, José M. Pérez-Izquierdo
A representation of an object in a category is an abelian group in the corresponding comma category. In this paper we derive the formulas describing linear representations of objec…
math.RA2011
Hopf algebras with triality
Georgia Benkart, Sara Madariaga, José M. Pérez-Izquierdo
In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping alge…