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Fall 2021
Jul 06, 2025
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McGill University values academic integrity. Therefore all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see Academic Integrity for more information).

L'université McGill attache une haute importance à l’honnêteté académique. Il incombe par conséquent à tous les étudiants de comprendre ce que l'on entend par tricherie, plagiat et autres infractions académiques, ainsi que les conséquences que peuvent avoir de telles actions, selon le Code de conduite de l'étudiant et des procédures disciplinaires (pour de plus amples renseignements, veuillez consulter le site Academic Integrity.

Syllabus Information
Topics in Geometry and Topology. - 7412 - MATH 599 - 001

Associated Term: Fall 2021
Downtown Campus
Topics Course Schedule Type

Topics:

Topic Content: Examples of classical compact Lie groups and Lie algebras, Haar measure, the Peter-Weyl Theorem, the exponential map, maximal tori and their conjugacy, the Weyl group, Weyl integration formula, roots and root systems, Dynkin diagrams, highest weight theory, Weyl character formula.
Time permitting, we may also discuss applications of the above to random matrix theory.

Required Readings & Materials:
To be determined and or Announced if any.

Method of Evaluation:

Evaluation:Students/Participants will prepare final presentations on topics germane to the theory of Lie groups and their representations..

Course URL:

Office Hours:
Time Days Where Contact Dates

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Release: 8.7.2.6 / 1.32