profhugodegaris

Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc

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 Amazon.com (hard copy) : $69

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

Availability free on eMule.com (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 :

%d bloggers like this: