Group Theory (1/3)

par Paul Sorba (LAPTh)

jeudi 6 déc. 2012, 14:00 → 16:00 Europe/Paris

Group Theory Lessons 1) Elements of group theory and their importance in particle physics 2) Lie groups and Lie algebras 3) Classification of semi-simple Lie algebras 4) Representations of simple Lie algebras 5) Applications: spectroscopy of elementary particles, gauge theory, grand unification models 6) Extensions: superalgebras (for supersymmetry); quantum groups (for integrable systems); exceptional algebras and infinite dimensional algebras (for string theory) Remarks: - The sections 1 to 4 constitute the mathematical basis. Applications in particle physics will be presented during these lessons. - Section 5 will be more or less developed, depending how much time will be left. - Same thing for Section 6. Bibliography: first part ("Lie algebras") of the book "Dictionary on Lie algebras and superalgebras" by L.Frappat, A.Sciarrino and P.Sorba, Academic Press,2000