Geometry of Exceptional Lie Groups book:gelg http://sites.science.oregonstate.edu/coursewikis/GELG/ 2020-01-26T13:06:40-08:00 Geometry of Exceptional Lie Groups http://sites.science.oregonstate.edu/coursewikis/GELG/ http://sites.science.oregonstate.edu/coursewikis/GELG/lib/images/favicon.ico text/html 2016-05-01T18:30:00-08:00 book:gelg:adjointn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/adjointn?rev=1462152600 The Adjoint Representation text/html 2016-05-07T09:38:00-08:00 book:gelg:dynkinn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/dynkinn?rev=1462639080 Dynkin Diagrams text/html 2016-04-16T10:25:00-08:00 book:gelg:lien http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/lien?rev=1460827500 Lie Groups and Lie Algebras text/html 2016-05-07T08:28:00-08:00 book: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 Diagrams text/html 2016-05-07T08:23:00-08:00 book: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 Numbers text/html 2016-05-01T17:07:00-08:00 book:gelg:rootsn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/rootsn?rev=1462147620 Roots text/html 2016-05-07T09:38:00-08:00 book:gelg:rpropn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/rpropn?rev=1462639080 Properties of Roots text/html 2016-03-29T21:23:00-08:00 book:gelg:so2n http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so2n?rev=1459311780 SO(2) text/html 2016-04-11T08:35:00-08:00 book:gelg:so31n http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so31n?rev=1460388900 SO(3,1) text/html 2016-03-30T09:56:00-08:00 book:gelg:so3n http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/so3n?rev=1459356960 SO(3) text/html 2016-05-07T08:23:00-08:00 book: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 Numbers text/html 2016-04-16T10:06:00-08:00 book:gelg:su2cpn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2cpn?rev=1460826360 $\SU(2,\CC')$ text/html 2016-03-30T09:55:00-08:00 book:gelg:su2n http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2n?rev=1459356900 SU(2) text/html 2016-04-23T11:08:00-08:00 book:gelg:su2repn http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su2repn?rev=1461434880 Representations of su(2) text/html 2016-04-27T10:43:00-08:00 book:gelg:su3n http://sites.science.oregonstate.edu/coursewikis/GELG/book/gelg/su3n?rev=1461778980 su(3)