Lie groups

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03512
    Languages English
    Type of lesson Lecture
    Level Bachelor
    Semester SS-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 - SS-2023, Session d'été 2023

    Assessments methods By rating

    Oral exam - SS-2023, Autumn Session 2023

    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: 2022_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: 2022_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
    Additional TDHSE programme in Mathematics
    Version: 2022_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: 2022_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: 2022_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: 2022_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: 2022_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: 2022_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2024_2/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)