401-3201-00L  Algebraic Groups

SemesterSpring Semester 2020
LecturersP. D. Nelson
Periodicitynon-recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-3201-00 GAlgebraic Groups4 hrs
Mon15:15-17:00HG E 1.1 »
Wed13:15-15:00HG E 33.3 »
P. D. Nelson

Catalogue data

AbstractIntroduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations.
Objective
LiteratureA. L. Onishchik and E.B. Vinberg, Lie Groups and Algebraic Groups
Prerequisites / NoticeAbstract algebra: groups, rings, fields, tensor product, etc.

Some familiarity with the basics of Lie groups and their Lie algebras would be helpful, but is not absolutely necessary.

We will develop what we need from algebraic geometry, without assuming prior knowledge.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits8 credits
ExaminersP. D. Nelson
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
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Offered in

ProgrammeSectionType
Mathematics BachelorSelection: Algebra, Number Thy, Topology, Discrete Mathematics, LogicWInformation
Mathematics MasterSelection: Algebra, Number Thy, Topology, Discrete Mathematics, LogicWInformation