Geometry of Exceptional Lie Groups book:gelg
http://sites.science.oregonstate.edu/coursewikis/GELG/
2020-01-26T13:06:40-08:00Geometry of Exceptional Lie Groups
http://sites.science.oregonstate.edu/coursewikis/GELG/
http://sites.science.oregonstate.edu/coursewikis/GELG/lib/images/favicon.icotext/html2016-05-01T18:30:00-08:00book:gelg:adjointn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/adjointn?rev=1462152600
The Adjoint Representationtext/html2016-05-07T09:38:00-08:00book:gelg:dynkinn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/dynkinn?rev=1462639080
Dynkin Diagramstext/html2016-04-16T10:25:00-08:00book:gelg:lien
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/lien?rev=1460827500
Lie Groups and Lie Algebrastext/html2016-05-07T08:28:00-08:00book:gelg:nfloat
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/nfloat?rev=1462634880
Introduction (ss)1. $\SO(2)$ (ss)2. $\SO(3)$ (ss)3. $\SU(2)$ (ss)4. $\SO(3,1)$ (ss)5. Lie Groups & Algebras (ss)6. $\SU(2,\CC')$ (ss)7. $\su(2)$ representations (ss)8. $\su(3)$ (ss)9. Adjoint Representation (ss)10. Roots (ss)11. Properties of Roots (ss)12. Dynkin Diagramstext/html2016-05-07T08:23:00-08:00book:gelg:notes
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/notes?rev=1462634580
These notes formed the basis for a topics course at Oregon State University in 2016.
Introduction
Section 1: $\SO(2)$
Section 2: $\SO(3)$
Section 3: $\SU(2)$
The Hopf Map
Section 4: $\SO(3,1)$
The Cayley-Dickson Process
The Split Complex Numberstext/html2016-05-01T17:07:00-08:00book:gelg:rootsn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/rootsn?rev=1462147620
Rootstext/html2016-05-07T09:38:00-08:00book:gelg:rpropn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/rpropn?rev=1462639080
Properties of Rootstext/html2016-03-29T21:23:00-08:00book:gelg:so2n
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so2n?rev=1459311780
SO(2)text/html2016-04-11T08:35:00-08:00book:gelg:so31n
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so31n?rev=1460388900
SO(3,1)text/html2016-03-30T09:56:00-08:00book:gelg:so3n
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so3n?rev=1459356960
SO(3)text/html2016-05-07T08:23:00-08:00book:gelg:start
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/start?rev=1462634580
These notes formed the basis for a topics course at Oregon State University in 2016.
Introduction
Section 1: $\SO(2)$
Section 2: $\SO(3)$
Section 3: $\SU(2)$
The Hopf Map
Section 4: $\SO(3,1)$
The Cayley-Dickson Process
The Split Complex Numberstext/html2016-04-16T10:06:00-08:00book:gelg:su2cpn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2cpn?rev=1460826360
$\SU(2,\CC')$text/html2016-03-30T09:55:00-08:00book:gelg:su2n
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2n?rev=1459356900
SU(2)text/html2016-04-23T11:08:00-08:00book:gelg:su2repn
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2repn?rev=1461434880
Representations of su(2)text/html2016-04-27T10:43:00-08:00book:gelg:su3n
http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su3n?rev=1461778980
su(3)