Algebra and Logic Seminar - 11/3/2015

Wednesday, 11 March 2015, 2:00 p.m.

Lecturer: Prof. Dr. Manuel Ladra (Departamento de Álgebra, Faculdade de Matemática, Universidade de Santiago de Compostela, Espanha)

Title: "Gröbner bases and nonassociative algebras. Some applications"

Local: Room 1.13, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: We will give some applications of Gröbner bases in some specific nonassociative algebras. Specifically, we provide proofs of Poincaré-Birkhoff-Witt theorem for universal enveloping algebras of finite-dimensional Leibniz n-algebras using Gröbner bases in a free associative algebra or we classify these algebras in low dimensions.