This is the website for a minicourse on n-algebras taught by José A. de Azcárraga and José M. Figueroa-O'Farrill in October 2008 at the University of Valencia. The course consisted of four 2-hour lectures (with a 10m break), starting at 15:30 in the Seminar room of the Department of Theoretical Physics.
The recent proposal of Bagger–Lambert and Gustavsson for a field theory dual to a stack of coincident M2-branes has led to renewed interest in n-ary generalizations of Lie algebras. The present course is an introduction to this subject, highlighting recent results of relevance to Physics, particularly to the study of three-dimensional superconformal Chern–Simons theory.