"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Lie groups and algebras
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MG012
7
2+2+0
6
optional
Matematică
MG012
7
2+2+0
6
optional
Matematică-Informatică
Teaching Staff in Charge
Assoc.Prof. PINTEA Cornel, Ph.D., cpintea@math.ubbcluj.ro
Aims
The course introduce and develope the main rations and results in the theory of Lie groups and Lie algebras. This theory is an important instrument in solving some problems in differential geometry and theoretical physics. The seminars cover by examples, applications, exercices and problems the theoretical materiale given at the course.
Content
1. Topological groups. Basic properties.
2. Classical groups.
3. Integration on compact groups.
4. Groups of transforms.
5. Lie groups.
6. Lie algebras of finite dimension
7. Nilpotent and rezoluble Lie algebras.
References
1. Doubrovine, B., Novikov, S., Fomenko, A., Geometrie contemporaine. Methodes et applications, Mir, Moscou, 1982
2. Kawakubo, K., The theory of transformation groups, Oxford, New York, Tokyo, Oxford University Press, 1991
3. L. Nicolescu, Lectii de Grupuri Lie, Univ. Bucuresti, 1984.
4. Postnikov, M.M., Groupes et algebres de Lie, Editions Mir, Moscou, 1985.
5. Tarina, M. Grupuri Lie, Cluj-Napoca, 1987.
6. Verona, A., Introducere in coomologia algebrelor Lie, Ed. Acad R.S.R.
Assessment
Exam.