Tomasz Brzezinski (Swansea University) – Affinization of algebraic structures: associative and Lie algebras

Abstract - The main aim of affinization (in the sense discussed here) is to formulate and analyse (additive or linear) algebraic structures in a way in which no selection of a specific element is necessary. In this talk I will explain the main motivation and various aspects of affinization and illustrate the process by affinization of familiar algebraic structures such as groups, vector spaces, and associative and Lie algebras.