The method of Weyl orbit reduction for obtaining branching rules is extended to affine Kac-Moody algebras. The orbits of affine rank 2 and 3 algebras are obtained analytically and the fundamental orbits are decomposed into irreducible representations (I.R.). Numerical inversion of a triangular matrix then gives the orbit multiplicities in an I.R. Orbit to orbit branching rules are deduced for selected subalgebras and used to produce I.R. to I.R. branching rules.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.74331 |
| Date | January 1990 |
| Creators | Bégin, François |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001072148, proquestno: AAINN63663, Theses scanned by UMI/ProQuest. |
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