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LIE GROUPS (M2, Adams Exc)

Lecture Topic : (Pure Math) LIE GROUPS (M2, Adams Exc)

Prerequisites : Lie Groups and Lie Algebras (M1); Abstract Algebra (M1); Manifold Theory (M1); General Topology (M1); Representation Theory (M1);

Recommended Text(s) :

“Lectures on Exceptional Lie Groups”, J. F. Adams, University of Chicago Press, 1996.

Approx price new on (hard copy) : $69

Approx price second hand on (hard copy) : $91

Availability free on (e-format) : Yes

eMule search key word(s) : Adams, Exceptional Lie Groups

Lectures and Links :


Lecture 1  (link)

Ch.1  Definitions, Examples and Matrix Groups


Lecture 2  (link)

Ch.2   Clifford Algebras


Lecture 3  (link)

Ch.3   The Spin Groups


Lecture 4  (link)

Ch.4   Clifford Modules and Representations


Lecture 5  (link)

Ch.5   Applications of Spin Representations


Lecture 6  (link)

Ch.6   The Exceptional Groups : Construction of E8


Lecture 7  (link)

Ch.7   Construction of a Lie Group of Type E8


Lecture 8  (link)

Ch.8   The Construction of a Lie Groups of Types  F4   E6   E7


Lecture 9  (link)

Ch.9   The Dynkin Diagrams of a Lie Groups of Types  F4   E6   E7   E8


Lecture 10  (link)

Ch.10   The Weyl Group of E8


Lecture 11  (link)

Ch.11   Representations of E6    E7


Lecture 12  (link)

Ch.12   Direct Construction of   E7


Lecture 13  (link)

Ch.13   Direct Treatment of   E6

Lecture 14  (link)

Ch.14   Direct Treatment of   F  Part 1


Lecture 15  (link)

Ch.15   The Cayley Numbers


Lecture 16  (link)

Ch.16   Direct Treatment of   F  Part 2 :Jordan Algebras


Lecture 17  (link)

Appendix : JordanAlgebras


Links to Other Lecturers on this Topic :

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