104.501 AKALG Lie algebras and representation theory 1
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, VO, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture

Learning outcomes

After successful completion of the course, students are able to explain basic concepts about Lie algebras (ideals, nilpotent, solvable, semisimple Lie algebras, ...). They can formulate and prove the theorems of Engel, Lie as well as the criteria of Cartan and the theorem of Weyl. Moreover, students are able to show that the set of roots of a semisimple Lie algebra forms an abstract root system.

Subject of course

Lie algebras, ideals and homomorphisms; Theorems of Lie and Engel, Cartan's criteria; Root space decompositions of semisimple Lie algebras; Representations, Theorem of Weyl

Teaching methods

Mathematical definitions and proofs

Mode of examination

Oral

Additional information

Zeit: Dienstag 14:15 - 15:15 und Freitag 12:00 - 13:00

Ort: Besprechungszimmer, Wiedner Hauptstraße 8-10, 1040 Wien, Turm A, 7.Stock, grüner Bereich

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Fri12:00 - 13:0006.03.2020 - 26.06.2020 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue14:15 - 15:1510.03.2020 - 23.06.2020 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
AKALG Lie algebras and representation theory 1 - Single appointments
DayDateTimeLocationDescription
Fri06.03.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue10.03.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri13.03.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue17.03.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri20.03.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue24.03.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri27.03.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue31.03.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri03.04.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue21.04.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri24.04.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue28.04.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue05.05.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri08.05.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue12.05.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri15.05.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue19.05.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Tue26.05.202014:15 - 15:15 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri29.05.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO
Fri05.06.202012:00 - 13:00 Freihaus, 7.OG, Turm A, Besprechungsraum DA07H16VO

Examination modalities

Oral Exam

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Mandatory elective

Literature

Ein Skriptum zur Lehrveranstaltung ist erhältlich.

Language

German