Group Theory

Antonio Marrone

Full Professor
of Theoretical Physics

Università degli Studi di Bari "Aldo Moro"
INFN - Sezione di Bari

Topics:

Goup Theory, Representations, Lie Algebras

Reference Texts:

H.F. Jones,
Groups, Representations and Physics,
Taylor & Francis; 2 edition

H. Georgi,
Lie Algebras In Particle Physics: from Isospin To Unified Theories,
(Frontiers in Physics),Westview Press; 2 edition (October 22, 1999)

Syllabus Communications for students

Program

Introduction to Symmetry in Physics;
Groups and Representations
Definitions and examples
Group of Permutations Sn
General properties of groups
Conjugation classes Subgroups
Normal subgroups
Homomorphisms
Group representations
Schur Lemmas
Orthogonality theorem
Characters
Character table
Direct product and decomposition
Symmetric group Sn and its representations
Young tableaux
Irreps of SU(N) and Sn
Tensorial method
Lie groups
SO(2),SO(3) and SU(2)
SU(N) and Young tableaux
Lie Algebras
Simple Lie Algebras
Killing form
Root quantization
Dynkin diagrams
Weights and representations

Communications for students

Contact me via email for any clarification/meeting.

Antonio Marrone

Full Professorof Theoretical Physics

Università degli Studi di Bari "Aldo Moro"INFN - Sezione di Bari

Topics:

Goup Theory, Representations, Lie Algebras Reference Texts: H.F. Jones, Groups, Representations and Physics, Taylor & Francis; 2 edition H. Georgi, Lie Algebras In Particle Physics: from Isospin To Unified Theories, (Frontiers in Physics),Westview Press; 2 edition (October 22, 1999)

Communications for students

Full Professor
of Theoretical Physics

Università degli Studi di Bari "Aldo Moro"
INFN - Sezione di Bari

Goup Theory, Representations, Lie Algebras

Reference Texts:

H.F. Jones,
Groups, Representations and Physics,
Taylor & Francis; 2 edition

H. Georgi,
Lie Algebras In Particle Physics: from Isospin To Unified Theories,
(Frontiers in Physics),Westview Press; 2 edition (October 22, 1999)