Lie-Gruppen / Lie groups

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04512
    Languages English , German
    Type of lesson Lecture
    Level Master
    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 (Autumn semester)
    Thursday 10:15 - 12:00, Hebdomadaire (Autumn semester)

    Teaching

    Responsibles
    • Naique Dessai Gemsch Anand
    Teachers
    • Naique Dessai Gemsch Anand
    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

    Oral exam - SA-2020, Session d'hiver 2021

    Date 01.02.2021 09:00 - 15.02.2021 15:40
    Assessments methods By rating
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
    Additional programme requirements for PhD studies [PRE-DOC]
    Version: 2020_1/v_01
    Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
    MSc in Mathematics [MA] 90
    Version: 2022_1/V_01
    MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
    Mathematics +30 [MA] 30
    Version: 2022_1/V_01
    Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)