TY  - BOOK
AU  - James E. Humphreys
TI  - Introduction to lie algebras and representation theory
T2  -  Graduate Texts in Mathematics
SN  - 9780387900537
AV  - QA251 
PY  - 1972///]
CY  - New York
PB  - Springer-Verlag
KW  - Mathematics
N1  - 1. Basic Concepts
2. Semisimple Lie Algebras
3. Root Systems
4. Isomorphism and Conjugacy Theorems
5. Existence Theorem
6. Representation Theory
7. Chevalley Algebras and Groups
N2  - This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. --- summary provided by publisher
UR  - https://link.springer.com/book/10.1007/978-1-4612-6398-2#toc
ER  -