course-details-portlet

MA3407 - Introduction to Lie Theory

About

Examination arrangement

Examination arrangement: Oral exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
Oral exam 100/100 1 hours D

Course content

The course gives a basic introduction to Lie algebras and their connections to various aspects of group theory: discrete groups, algebraic groups, and (of course) Lie groups. The main focus will be on the examples given by matrices, because the general theory can often be reduced to these by means of representation theory. Possible specific topics are: Lie algebras, universal enveloping algebras, free, nilpotent, solvable, and semi-simple Lie algebras; Lie groups, vector fields and integration, one-parameter groups and the exponential map, homogeneous spaces, Clifford algebras and spinor groups.

Learning outcome

1. Knowledge. The student is able to articulate and explain the basic concepts and ideas behind Lie theory, and to elucidate their meaning using examples and application of algebraic or analytic nature. 2. Skills. The student has an overall understanding of Lie groups and Lie algebras. They can formulate problems and carry out simple calculations of Lie-theoretical nature, especially by reduction to matrix groups in lower dimensions.

Learning methods and activities

The learning methods and activities depend on the course teacher. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. The course will be given in autumn in years of even numbers.

Course materials

Information about course material will be given at the start of the course.

More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2022

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Topology
  • Topology and Geometry
  • Mathematics
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences

Examination

Examination arrangement: Oral exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Oral exam 100/100 D
Room Building Number of candidates
Summer UTS Oral exam 100/100 D
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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