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PHYSICS and LIE THEORY (M2, Fuchs)

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 Amazon.com (hard copy) :   $79

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

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Fuchs, Symmetries

Lectures and Links :

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Lecture 1  (link)

Ch.1   Symmetries and Conservation Laws

Ch.2   Basic Examples

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Lecture 2  (link)

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

Ch.4   Formalization : Algebras and Lie Algebras

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Lecture 3  (link)

Ch.5   Representations

Ch.6   The Cartan-Weyl Basis

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Lecture 4  (link)

Ch.7   Simple and Affine Lie Algebras

Ch.8   Real Lie Algebras and Real Forms

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Lecture 5  (link)

Ch.9   Lie Groups

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

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Lecture 6  (link)

Ch.11   Automorphisms of Lie Algebras

Ch.12  LoopAlgebras and Central Extensions

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Lecture 7  (link)

Ch.13   Highest Weight Representations

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

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Lecture 8  (link)

Ch.15   Tensor Products of Representations

Ch.16   Clebsch-Gordon Coefficients and Tensor Operators

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Lecture 9  (link)

Ch.17   Invariant Tensors

Ch.18   Subalgebras and Branching Rules

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Lecture 10  (link)

Ch.19   Young Tableaux and the Symmetric Group

Ch.20   Spinors, Clifford Algebras, and Supersymmetry

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Lecture 11  (link)

Ch.21   Representations on Function Spaces

Ch.22   Hopf Algebras and Representation Rings

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Links to Other Lecturers on this Topic :

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