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LIE ALGEBRAS (M1, Cahn)

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 Amazon.com (hard copy) : $7

Approx price second hand on Amazon.com (hard copy) : $7

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

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

Lectures and Links :

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Lecture 1  (link)

Ch.1   SU(2)

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Lecture 2  (link)

Ch.2   SU(3)

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Lecture 3  (link)

Ch.3   The Killing Form

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Lecture 4  (link)

Ch.4   The Structure of Simple Lie Algebras

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Lecture 5  (link)

Ch.5   A Little About Representations

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Lecture 6  (link)

Ch.6   More on the Structure of Simple Lie Algebras

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Lecture 7  (link)

Ch.7   Simple Roots and the Cartan Matrix

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Lecture 8  (link)

Ch.8   The Classical Lie Algebras

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Lecture 9  (link)

Ch.9   The Exponential Lie Algebras

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Lecture 10  (link)

Ch.10   More on Representations

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Lecture 11  (link)

Ch.11   Casimir Operators and Freudenthal’s Formula

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Lecture 12  (link)

Ch.12   The Weyl Group

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Lecture 13  (link)

Ch.13   Weyl’s Dimension Formula

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Lecture 14  (link)

Ch.14   Reducing Product Representations

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Lecture 15  (link)

Ch.15   Subalgebras

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Lecture 16  (link)

Ch.16   Branching Rules

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Links to Other Lecturers on this Topic :

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