Weyl Orbits and Branching Rules for Affine Kac - Algebras.

Details Weyl Orbits and Branching Rules for Affine Kac - Algebras. Weyl Orbits and Branching Rules for Affine Kac - Algebras.

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phdt........90b&link_type=abstract

Thesis (PH.D.)--MCGILL UNIVERSITY (CANADA), 1990.Source: Dissertation Abstracts International, Volume: 53-01, Section: B, page:

Computer Science

Scientific paper

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 sub-algebras and used to produce I.R. to I.R. branching rules.

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