I am Adjunct Professor at the Math. Deparment at Universidad Nacional de La Plata and a Researcher of CONICET. My research field is non-commutative algebra. More specifically, Hopf algebras and quantum groups.
Hopf algebras were introduced in 50´s. From the 60´s they have been studied systematically, first in connection with algebraic groups and later as objects of self interest. Quantum groups, introduced in 1986 by Drinfeld, are a particular class of Hopf algebras that can be considered as deformations of universal enveloping algebras of Lie algebras or deformation of rings of regular functions on a Lie group.
My interest in quantum groups lie in the fact that they are a very important source of examples of Hopf algebras and must be taken into account to study the problem of classifying these algebras. In addition, quantum groups appear naturally codifying the symmetry of braided categories. In such a way they appear in various areas related to conformal field theory, for example, invariants of topological varieties of low dimension.
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