5020 Modern Algebra II, Fall 2013
Textbooks:
-
N. Jacobson, Lie Algebras, Dover, 1979 (reprint of Interscience Publ., 1962)
- available in my office.
-
J.E. Humphreys, Introduction to Lie Algebras and Representation Theory,
Springer, 1972 - available at NCCU library and in my office.
-
V.S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations,
Springer, 1984 - available at NCCU library.
Software: GAP
Syllabus (pdf file).
A very brief synopsis of topics covered so far
(pdf file).
Homework 1, due September 5September 24, 2013
Take any nonabelian the 3-dimensional simple Lie algebra and compute its derivations and
automorphisms.
Project 1, due September 19October 8, 2013
Try to design and to write a program (or a set of programs) which by a given
(nonassociative) algebra, given by its structure constants, computes its
derivation algebra.
The base field can be assumed whatever you like - rationals, reals,
a finite field, etc.
You can use any programming language and/or environment.
Created: Fri Aug 23 2013
Last modified: Thu Oct 19 18:51:50 CEST 2017