Statut  Confirmé 
Série  COURS 
Domaines  mathph 
Date  Vendredi 16 Décembre 2016 
Heure  10:00 
Institut  IPHT 
Salle  Salle Claude Itzykson, Bât. 774 
Nom de l'orateur  Anthony Zee 
Prenom de l'orateur  
Addresse email de l'orateur  
Institution de l'orateur  KITP and IPhT 
Titre  Group Theory in a Nutshell for Physicists (5/5) 
Résumé  I intend to follow closely a portion of the material contained in my textbook ``Group Theory in a Nutshell for Physicists'' (Princeton University Press 2016), which is in turn based on a course I gave at the University of California at Santa Barbara. The course was for graduate students and qualified undergraduates. \par For this 5lecture course, I plan to focus on the Cartan classification of Lie algebras and Dynkin diagrams. Thus, I expect students to be already familiar with the concept of a group and of its matrix representations. \par We will begin with a quick overview of SU(N), focusing on SU(2) and SU(3) in particular, and drawing from parts IV and V of my book. I will then follow part VI in detail, covering the following topics: roots and weights for orthogonal, unitary, and symplectic algebras; Cartan classification; and Dynkin diagrams. If we do find ourselves with extra time on our hands, there are many additional topics we could choose to discuss, such as the Majorana equation and its emergence in condensed matter physics. \par Neither this course nor the textbook is suitable for people seeking mathematical rigor. The treatment of group theory is given at a level customary for physics students. 
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