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Lecture Topic : (Pure Math) LIE ALGEBRAS (M1, Cahn)

Prerequisites : Abstract Algebra (Sen, M1);

Recommended Text(s) :

“Semi-Simple Lie Algebras and Their Representations”, Robert N. Cahn,Dover, 2006.

Approx price new on (hard copy) : $7

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eMule search key word(s) : Cahn, Lie Algebras

Lectures and Links :


Lecture 1  (link)

Ch.1   SU(2)


Lecture 2  (link)

Ch.2   SU(3)


Lecture 3  (link)

Ch.3   The Killing Form


Lecture 4  (link)

Ch.4   The Structure of Simple Lie Algebras


Lecture 5  (link)

Ch.5   A Little About Representations


Lecture 6  (link)

Ch.6   More on the Structure of Simple Lie Algebras


Lecture 7  (link)

Ch.7   Simple Roots and the Cartan Matrix


Lecture 8  (link)

Ch.8   The Classical Lie Algebras


Lecture 9  (link)

Ch.9   The Exponential Lie Algebras


Lecture 10  (link)

Ch.10   More on Representations


Lecture 11  (link)

Ch.11   Casimir Operators and Freudenthal’s Formula


Lecture 12  (link)

Ch.12   The Weyl Group


Lecture 13  (link)

Ch.13   Weyl’s Dimension Formula


Lecture 14  (link)

Ch.14   Reducing Product Representations


Lecture 15  (link)

Ch.15   Subalgebras


Lecture 16  (link)

Ch.16   Branching Rules


Links to Other Lecturers on this Topic :

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