Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc


Lecture Topic : (Math Physics) PHYSICS and LIE THEORY (M2, Fuchs)

Prerequisites : Quantum Mechanics (M1); Group Theory (M1); Particle Physics (M1);

Recommended Text(s) :

“Symmetries, Lie Algebras and Representations : A Graduate Course for Physicists”, Jurgen Fuchs & Christoph Schweigert,CambridgeUniversityPress, 1997.

Approx price new on (hard copy) :   $79

Approx price second hand on (hard copy) : $60

Availability free on (e-format) : Yes

eMule search key word(s) : Fuchs, Symmetries

Lectures and Links :


Lecture 1  (link)

Ch.1   Symmetries and Conservation Laws

Ch.2   Basic Examples


Lecture 2  (link)

Ch.3   The Lie Algebra su(3) and Hadron Symmetries

Ch.4   Formalization : Algebras and Lie Algebras


Lecture 3  (link)

Ch.5   Representations

Ch.6   The Cartan-Weyl Basis


Lecture 4  (link)

Ch.7   Simple and Affine Lie Algebras

Ch.8   Real Lie Algebras and Real Forms


Lecture 5  (link)

Ch.9   Lie Groups

Ch.10   Symmetries of the Root System, the Weyl Group


Lecture 6  (link)

Ch.11   Automorphisms of Lie Algebras

Ch.12  LoopAlgebras and Central Extensions


Lecture 7  (link)

Ch.13   Highest Weight Representations

Ch.14   Verma Modules, Casimirs, and the Character Formula


Lecture 8  (link)

Ch.15   Tensor Products of Representations

Ch.16   Clebsch-Gordon Coefficients and Tensor Operators


Lecture 9  (link)

Ch.17   Invariant Tensors

Ch.18   Subalgebras and Branching Rules


Lecture 10  (link)

Ch.19   Young Tableaux and the Symmetric Group

Ch.20   Spinors, Clifford Algebras, and Supersymmetry


Lecture 11  (link)

Ch.21   Representations on Function Spaces

Ch.22   Hopf Algebras and Representation Rings


Links to Other Lecturers on this Topic :

%d bloggers like this: