Lie groups

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04512
    Languages English
    Type of lesson Lecture
    Level Master
    Semester SP-2023

    Title

    French Groupes de Lie
    German Lie-Gruppen
    English Lie groups

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 15:00, Hebdomadaire (Spring semester)
    Thursday 13:15 - 15:00, Hebdomadaire (Spring semester)

    Teaching

    Responsibles
    • Le Donne Enrico
    Teachers
    • Le Donne Enrico
    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 basics in the theory of Lie groups, from the differential-geometry view point.
    Familiarity with the links between Lie groups and their Lie algebras, via the exponential map.
    A good understanding of examples of Lie groups.
    Comments

    counts for Algebra/Geometry/Topology and Analysis
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    28.02.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    02.03.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    07.03.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    09.03.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    14.03.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    16.03.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    21.03.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    23.03.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    28.03.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    30.03.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    04.04.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    06.04.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    18.04.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    20.04.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    25.04.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    27.04.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    02.05.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    04.05.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    09.05.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    11.05.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    16.05.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    23.05.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    25.05.2023 13:15 - 15:00 Cours PER 08, Room 2.52
    30.05.2023 13:15 - 15:00 Cours PER 23, Room 0.05
    01.06.2023 13:15 - 15:00 Cours PER 08, Room 2.52
  • Assessments methods

    Oral exam - SP-2023, Autumn Session 2023

    Assessments methods By rating

    Oral exam - SA-2023, Session d'hiver 2024

    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)