Universität Wien
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250413 VO Classical groups (2007S)

Classical groups

8.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 08.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 09.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 15.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 16.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 22.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 23.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 29.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 30.03. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 19.04. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 20.04. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 26.04. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 27.04. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 03.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 04.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 10.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 11.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 18.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 24.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 25.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 31.05. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 01.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 08.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 14.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 15.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 21.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 22.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Thursday 28.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II
  • Friday 29.06. 08:00 - 10:00 Seminarraum 2A310 3.OG UZA II

Information

Aims, contents and method of the course

The notion "Classical Groups" is due to Hermann Weyl who coined it for certain families of groups of linear transformations. It mainly refers to matrix groups of invertible linear transformations of vector spaces (over arbitrary fields)and their subgroups which leave a non-degenerate or skew-symmetric bilinear form invariant. These groups play an important role in mathematics and mathematical physics. Besides the fundamental ingredients as algebras, involutions on central simple algebras,
quadratic spaces, Clifford algebras, we also discuss forms of classical groups. One may view this course 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

Last modified: Sa 02.04.2022 00:24