Prof. Mikhail Kotchetov de la Memorial University, St. John’s, Canadá.
Título: An introduction to classification of gradings on algebras
Resumen: Gradings on algebras have been studied and played an important role for a long time: for example, the grading of the algebra of polynomials by total degree or by multidegree, the grading of a complex semisimple Lie algebra by its root lattice, the natural grading of a crossed product. Since the 1990’s, there has been a considerable interest in classifying gradings by arbitrary groups on various algebras and studying the properties of the resulting graded algebras (for example, their “contractions”, graded polynomial identities, graded representations). In this talk, we will discuss possible approaches to the classification of gradings and related concepts such as the universal group of a grading, refinement and coarsening, isomorphism and equivalence. We will also see some important examples of gradings on associative and Lie algebras.