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Uppsala University
Representation Theory and Integrable Systems
In this course you will explore the interplay between representation theory and integrable systems, and through this gain a deeper understanding of their mathematical structures and applications in physics. Topics include Schur-Weyl duality, representations and characters of classical Lie algebras, affine Kac-Moody…
- Higher education
- Information unavailable
- 31 August 2026
- Information unavailable
- Information unavailable
- 33 %
Overview
In this course you will explore the interplay between representation theory and integrable systems, and through this gain a deeper understanding of their mathematical structures and applications in physics. Topics include Schur-Weyl duality, representations and characters of classical Lie algebras, affine Kac-Moody algebras, Hopf algebras, and symplectic geometry as a framework for Hamiltonian mechanics. You will study integrable systems, including classical and quantum examples, and techniques such as the Yang-Baxter equation, S-matrices, and spin chain Hamiltonians. Emphasis is placed on using representation theory for spectral calculations and applying integrability methods to physical models.
Admission scores
Entry requirements
120 credits in mathematics and/or physics. Participation in Mathematical Methods of Physics II or Differential topology. Symmetry and Group theory in Physics or Algebraic Structures. Analytical mechanics. Complex analysis.
The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.
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- Source
- Skolverket Susa-navet
- Period
- 2026-08-31
- Measure
- Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
- Population
- Education offering e.uoh.uu.1fa028.13111.20262
- Last checked
- 2026-09-23T10:39:41.205927+00:00
- Limitation
- Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.
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About the provider
Sources and data quality
Education facts for the selected offering come from Skolverket Susa-navet.
Retrieved . Published . Times are shown in Swedish local time.
Source identity and publication version
- Publication version
- 8e217193-f5fa-4778-b085-a4521fd03e8d
- Education identity in the source
- i.uoh.uu.1fa028.13111.20262
- Offering identity in the source
- e.uoh.uu.1fa028.13111.20262
- Education-form source code
- HS
- Education code in the source
- 1FA028
- Change time according to the source
- 2026-02-12T18:37:17
The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.