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.

Course Disposition

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Specific prerequisites *

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

Recommended prerequisites

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Equipment

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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

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.

Other requirements for final grade *

Approved solutions to all homework sets.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

Sandhya Choubey

Course web

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Offered by

SCI/Theoretical Physics

Main field of study *

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Education cycle *

Third cycle

Add-on studies

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Contact

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.