LIE GROUPS (M1, Curtis)

Lecture Topic : (Math Physics) LIE GROUPS (M1, Curtis)

Prerequisites : Abstract Algebra (Sen, M1); General Topology (Sen, M1);

Recommended Text(s) :

“Matrix Groups”, 2^nd Edn., Morton L. Curtis, Springer, 1984.

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Approx price second hand on Amazon.com (hard copy) : $21

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Lectures and Links :

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Lecture 1  (link)

Ch.1  General Linear Group

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Lecture 2  (link)

Ch.2   Orthogonal Groups

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Lecture 3  (link)

Ch.3   Homomorphisms

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Lecture 4  (link)

Ch.4   Exponential and Logarithm

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Lecture 5  (link)

Ch.5   SO(3) and Sp(1)

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Lecture 6  (link)

Ch.6   Topology

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Lecture 7  (link)

Ch.7   Maximal Tori

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Lecture 8  (link)

Ch.8   Covering by Maximal Tori

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Lecture 9  (link)

Ch.9   Conjugacy of Maximal Tori

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Lecture 10  (link)

Ch.10   Spin(k)

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Lecture 11  (link)

Ch.11   Normalizers, Weyl Groups

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Lecture 12  (link)

Ch.12   Lie Groups

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Lecture 13  (link)

Ch.13   Maximal Tori, Anatomy of a Reflection, Adjoint Representation, Sample Computation of Roots

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Lecture 14  (link)

Appendices

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Links to Other Lecturers on this Topic :