This page collects the course notes taken by 18.745 students to fulfill the class scribing requirement. The class was titled "Lie Algebras", and was taught by Professor Victor Kac. It covers the classification of semisimple Lie algebras, and gives a taste of other topics: Weyl groups, the universal enveloping algebra, Weyl complete reducibility, Verma modules, and Weyl's character formula.
Beware: these notes have not been thoroughly edited, and contain omissions, confusing statements, and outright errors. Neither I, nor Professor Kac, assume any responsibility for their accuracy.
That said, please feel free to send corrections to Alexey Spiridonov.
Here are the lectures so far. I suggest using the PDF format files.
In the cases, where the lecture includes figures, or other files aside from the TeX files, I provide a tar/gzip compressed archive of the full sources. You will need the tgz archive if you wish to run LaTeX on the .tex source.
| Lecture | Scribe | Formats | ||||
|---|---|---|---|---|---|---|
| Lecture 1 | Patrick Lam | tex | ps.gz | dvi | ||
| Lecture 2 | Alan Dunn | tex | ps.gz | dvi | ||
| Lecture 3 | Alexey Spiridonov | tex | ps.gz | dvi | ||
| Lecture 4 | Anthony Tagliaferro | tex | ps.gz | dvi | ||
| Lecture 5 | Zhongtao Wu | tex | ps.gz | dvi | ||
| Lecture 6 | Liu Ruochuan | tex | ps.gz | dvi | ||
| Lecture 7 | Karola Meszaros | tex | ps.gz | dvi | ||
| Lecture 8 | Genya Zaytman | tex | ps.gz | dvi | ||
| Lecture 9 | Yaim Cooper | nb | ps.gz | |||
| Lecture 10 | Steven Sivek | tex | ps.gz | dvi | ||
| Lecture 11 | Chris Davis | tex | ps.gz | dvi | ||
| Lecture 12 | David Meyer | tex | ps.gz | dvi | ||
| Lecture 13 | Yakov Shapiro | tex | ps.gz | dvi | ||
| Lecture 14 | Maksim Lipyanskiy | tex | ps.gz | dvi | ||
| Lecture 15 | Maksim Maydanskiy | tgz | tex | ps.gz | dvi | |
| Lecture 16 | Josh Powell | tgz | tex | ps.gz | dvi | |
| Lecture 17 | Karola Meszaros | tgz | tex | ps.gz | dvi | |
| Lecture 18 | Alexey Spiridonov Steven Sivek |
tgz | tex | ps.gz | dvi | |
| Lecture 19 | Patrick Lam | tex | ps.gz | dvi | ||
| Lecture 20 | Alan Dunn Anthony Tagliaferro |
tgz | tex | ps.gz | dvi | |
| Lecture 21 | Ruochuan Liu Zhongtao Wu |
tex | ps.gz | dvi | ||
| Lecture 22 | Genya Zaytman Yaim Cooper |
tex | ps.gz | dvi | ||
| Lecture 23 | David Meyer Chris Davis |
tex | ps.gz | dvi | ||
| Lecture 24 | Maksim Lipyanskiy Yakov Shapiro |
tex | ps.gz | dvi | ||
| Lecture 25 | Maksim Maydanskiy | tex | ps.gz | dvi | ||