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800487 PS Introductory seminar: Classical Groups (2004S)

Introductory seminar: Classical Groups

0.00 ECTS (2.00 SWS), UG99 Mathematik

Continuous assessment of course work

Details

Language: German

Lecturers

Joachim Schwermer

Classes (iCal) - next class is marked with N

Thursday 11.03. 14:00 - 16:00 Seminarraum
Thursday 18.03. 14:00 - 16:00 Seminarraum
Thursday 25.03. 14:00 - 16:00 Seminarraum
Thursday 01.04. 14:00 - 16:00 Seminarraum
Thursday 22.04. 14:00 - 16:00 Seminarraum
Thursday 29.04. 14:00 - 16:00 Seminarraum
Thursday 06.05. 14:00 - 16:00 Seminarraum
Thursday 13.05. 14:00 - 16:00 Seminarraum
Thursday 27.05. 14:00 - 16:00 Seminarraum
Thursday 03.06. 14:00 - 16:00 Seminarraum
Thursday 17.06. 14:00 - 16:00 Seminarraum
Thursday 24.06. 14:00 - 16:00 Seminarraum

Information

Aims, contents and method of the course

The notion "classical groups" is due to H. Weyl who marked certain families of groups of linear transformations with this name. It pertains to matrix groups of invertible linear transformations on vector spaces (over an arbitrary field)and its subgroups which leave invariant a non-degenerate symmetric or skew-symmetric bilinearform. These groups play an important role in mathematics and mathematical physics. Beside the basic material (algebras, involutions on central simple algebras, quadratic spaces, Clifford algebras) forms of classical groups are treated as well. The lectures can be viewed as an introduction into the theory of algebraic groups.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Jean Dieudonne, La geometrie des groupes classiques, 2 nd edition 1983
M.-A. Knus, A. Merkurijev,M. Rost, J.-P. Tignol, The book of involutions,American Mathematical Society 1998

Association in the course directory

Currently no association information is available.

Last modified: Mo 07.09.2020 15:50