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FSI3110 Group and Representation Theory 7.5 credits

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Information per course offering

Termin

Information for Spring 2025 Start 17 Mar 2025 programme students

Course location

AlbaNova

Duration
17 Mar 2025 - 2 Jun 2025
Periods
Pace of study

50%

Application code

60852

Form of study

Normal Daytime

Language of instruction

English

Course memo
Course memo is not published
Number of places

Places are not limited

Target group
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Planned modular schedule
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Schedule
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Part of programme
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Contact

Examiner
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Course coordinator
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Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus FSI3110 (Spring 2019–)
Headings with content from the Course syllabus FSI3110 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The course covers group and representation theory. The focus is on Lie groups and their applications in particle physics and quantum field theory.

Group theory, definitions and examples of groups. Homomorphism, isomorphism,

Permutation groups.

Group representation: reducibility, equivalence, Schur's lemma.

Lie groups and Lie algebra's. Representations of simple Lie algebras, SO(n), Lorentz group.

Symmetries in physical systems.

Intended learning outcomes

Upon completing the course the student should:

  • Be able to recount the basic definitions within group and representation theory and give examples of how these are applied to different physical systems.
  • Be able to use group theory to draw conclusions regarding the behaviour of physical systems.
  • Use representation theory within the framework of particle physics and quantum field theory.

Literature and preparations

Specific prerequisites

The course is intended for doctoral students in physics. Basic knowledge in algebra and quantum mechanics is required.

Literature

M. Hammermesh, Group Theory and its Application to Physical Problems; W.-K. Tung, Group Theory in Physics; J.F. Cornwell, Group Theory in Physics (vol. 1 and 2); Z.-Q. Ma, Group Theory for Physicists; H. Georgi, Lie Algebras in Particle Physics

Examination and completion

Grading scale

P, F

Examination

  • INL1 - Assignment, 2.0 credits, grading scale: P, F
  • INL2 - Assignment, 3.0 credits, grading scale: P, F
  • INL3 - Assignment, 2.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Other requirements for final grade

Approved solutions to all homework sets.

Examiner

Profile picture Sandhya Choubey

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Physics

Education cycle

Third cycle

Postgraduate course

Postgraduate courses at SCI/Physics