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PHYSICS AND LIE THEORY (M1, Sattinger)

Lecture Topic : (Math Physics) PHYSICS AND LIE THEORY (M1, Sattinger)

Prerequisites : Abstract Algebra (Sen, M1); Quantum Mechanics (Sen, M1);

Recommended Text(s) :

“Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics”, D. H. Sattinger & O. L. Weaver, Springer, 1986.

Approx price new on Amazon.com (hard copy) : $68

Approx price second hand on Amazon.com (hard copy) : $63

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

eMule search key word(s) : Sattinger, Lie Groups

Lectures and Links :

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Lecture 1  (link)

Ch.1   Lie Groups

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Lecture 2  (link)

Ch.2   Lie Algebras

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Lecture 3  (link)

Ch.3   Lie Groups and Algebras : Matrix Approach

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Lecture 4  (link)

Ch.4   Application to Physics and Vice Versa

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Lecture 5  (link)

Ch.5   Calculus on Manifolds

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Lecture 6  (link)

Ch.6   Symmetry Groups of Differential Equations

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Lecture 7  (link)

Ch.7   Invariant Forms on Lie Groups

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Lecture 8  (link)

Ch.8   Lie Groups and Algebras : Differential Geometric Approach

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Lecture 9  (link)

Ch.9   General Structure of Lie Algebras

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Lecture 10  (link)

Ch.10   Structure of Semi-Simple Lie Algebras

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Lecture 11  (link)

Ch.11   Real Forms

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Lecture 12  (link)

Ch.12   Representation Theory

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Lecture 13  (link)

Ch.13   Spinor Representations

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Lecture 14  (link)

Ch.14   Applications

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Links to Other Lecturers on this Topic :

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