Lie-Gruppen / Lie groups

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03512
    Languages English , German
    Type of lesson Lecture
    Level Bachelor
    Semester SA-2020

    Title

    French Groupes de Lie
    German Lie-Gruppen
    English Lie groups

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 15:00, Hebdomadaire, PER 09, Room 0.108
    Thursday 10:15 - 12:00, Hebdomadaire, PER 07, Room 1.309

    Teaching

    Responsibles
    Teachers
    Description

    Matrix-Gruppen, Lie-Gruppen, Lie-Algebren, Exponentialabbildung, invariante Integration, Darstellungstheorie, maximale Tori, Satz von Peter-Weyl, Wurzel-Systeme, Dynkin-Diagramme, Weylsche Charakter Formel

    Training objectives

    Knowledge of the basic methodes in the theory of Lie groups.
    Familiarity with the basic facts about the representation theory of compact Lie groups.
    A good understanding of root systems and their role in representation theory.

    Comments

    Ce cours compte pour le domaine de l'algèbre-géométrie-topologie

    Softskills
    No
    Off field
    No
    BeNeFri
    No
    Mobility
    No
    UniPop
    No
  • Dates and rooms
    Date Hour Type of lesson Place
    15.09.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    17.09.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    22.09.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    24.09.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    29.09.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    01.10.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    06.10.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    08.10.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    13.10.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    15.10.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    20.10.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    22.10.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    27.10.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    29.10.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    03.11.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    05.11.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    10.11.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    12.11.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    17.11.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    19.11.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    24.11.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    26.11.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    01.12.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    03.12.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    10.12.2020 10:15 - 12:00 Cours PER 07, Room 1.309
    15.12.2020 13:15 - 15:00 Cours PER 09, Room 0.108
    17.12.2020 10:15 - 12:00 Cours PER 07, Room 1.309
  • Assessments methods

    Examen oral - SA-2020, Session d'hiver 2021

    Date 16.02.2021 10:30 - 14:50
    Assessments methods By rating

    Examen oral - SP-2021, Session d'été 2021

    Assessments methods By rating
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2018_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Mathematics [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)

    Additional TDHSE programme in Mathematics
    Version: 2020_1/V_01
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics 60 > Additional TDHSE programme for Mathematics 60 (from AS2018 on)
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics +30 > Additional TDHSE programme for Mathematics +30 (from AS2018 on)

    Mathematics 120
    Version: 2020_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)

    Mathematics +30 [MA] 30
    Version: 2020_1/V_01
    Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)

    Mathematics 30 for Mathematicians (MATH 30MA)
    Version: 2020_1/V_01
    Mathematics for mathematicians (MATH 30MA), minor 30 (from AS2020 on) > Mathematics, minor MATH 30MA, elective courses (from AS2018 on)

    Mathematics 30 for Physicists (MATH 30PH)
    Version: 2020_1/V_01
    Mathematics for physicists (MATH 30PH), minor 30 (from AS2020 on) > Mathematics, minor MATH 30PH, elective courses (from AS2018 on)

    Mathematics 60 (MATH 60)
    Version: 2020_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)

    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Supplement to doctoral studies in Mathematics > Advanced courses in Mathematics (Bachelor level)

    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2020_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)