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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”, 2nd Edn., Morton L. Curtis, Springer, 1984.

Approx price new on (hard copy) : $50

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

Availability free on (e-format) : Yes

eMule search key word(s) : Curtis, Matrix Groups

Lectures and Links :


Lecture 1  (link)

Ch.1  General Linear Group


Lecture 2  (link)

Ch.2   Orthogonal Groups


Lecture 3  (link)

Ch.3   Homomorphisms


Lecture 4  (link)

Ch.4   Exponential and Logarithm


Lecture 5  (link)

Ch.5   SO(3) and Sp(1)


Lecture 6  (link)

Ch.6   Topology


Lecture 7  (link)

Ch.7   Maximal Tori


Lecture 8  (link)

Ch.8   Covering by Maximal Tori


Lecture 9  (link)

Ch.9   Conjugacy of Maximal Tori


Lecture 10  (link)

Ch.10   Spin(k)


Lecture 11  (link)

Ch.11   Normalizers, Weyl Groups


Lecture 12  (link)

Ch.12   Lie Groups


Lecture 13  (link)

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


Lecture 14  (link)



Links to Other Lecturers on this Topic :

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