The School encompasses various topics in contemporary algebra: non-associative algebras, graph algebras, computer algebra and category theory.
It will start with an introductory course on Lie algebras, which will lay the foundations for the next courses. Courses on Herstein’ s Lie Theory and Gradings of Lie algebras will complete the training on Lie algebras. Being aware of the importance of the use computer techniques to approach pure mathematical problems, a computer algebra course will be offered. Courses on Leavitt path algebras will be delivered. Unfortunately we will not have the time to study their Lie structures and we will provide only an introduction to their theory.
As Mac Lane stated category theory starts with the observation that many properties of mathematical structures can be unified and simplified by a presentation with diagrams and arrows. Here, we will learn how to translate some basic non-associative-algebraic definitions into categorical terms.