Fusion Rules for Affine Kac-Moody Algebras
| dc.creator | Feingold, Alex J. | |
| dc.date | 2002-12-31 | |
| dc.date | 2003-08-23 | |
| dc.date.accessioned | 2026-07-07T04:54:08Z | |
| dc.date.available | 2026-07-07T04:54:08Z | |
| dc.description | This is an expository introduction to fusion rules for affine Kac-Moody algebras, with major focus on the algorithmic aspects of their computation and the relationship with tensor product decompositions. Many explicit examples are included with figures illustrating the rank 2 cases. New results relating fusion coefficients to tensor product coefficients are proved, and a conjecture is given which shows that the Frenkel-Zhu affine fusion rule theorem can be seen as a beautiful generalization of the Parasarathy-Ranga Rao-Varadarajan tensor product theorem. Previous work of the author and collaborators on a different approach to fusion rules from elementary group theory is also explained. | |
| dc.description | 43 pp, LateX, 18 postscript figures. Paper for my talk at the Ramanujan International Symposium on Kac-Moody Lie Algebras and Applications, ISKMAA-2002, Jan. 28-31, 2002, Chennai, India. Important references and comments added. Final version accepted for publication. Also available from ftp://ftp.math.binghamton.edu/pub/alex/Madras_Paper_Latex.ps.gz | |
| dc.identifier | https://arxiv.org/abs/math/0212387 | |
| dc.identifier | http://arxiv.org/abs/math/0212387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66130 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 17B67, 17B65, 81T40 (Primary), 81R10, 05E10 (Secondary) | |
| dc.title | Fusion Rules for Affine Kac-Moody Algebras | |
| dc.type | text |