Low Level Representations for E10 and E11
| dc.creator | Nicolai, Hermann | |
| dc.creator | Fischbacher, Thomas | |
| dc.date | 2003-01-06 | |
| dc.date | 2003-03-26 | |
| dc.date.accessioned | 2026-07-07T04:14:44Z | |
| dc.date.available | 2026-07-07T04:14:44Z | |
| dc.description | We work out the decomposition of the indefinite Kac Moody algebras ${E_{10}}$ and ${E_{11}}$ w.r.t. their respective subalgebras $A_9$ and $A_{10}$ at low levels. Tables of the irreducible representations with their outer multiplicities are presented for ${E_{10}}$ up to level $\ell = 18$ and for ${E_{11}}$ up to level $\ell =10$. On the way we confirm and extend existing results for ${E_{10}}$ root multiplicities, and for the first time compute non-trivial root multiplicities of ${E_{11}}$. | |
| dc.description | 37 pages, 2 figures, 2 tables. Contribution to the Proceedings of the Ramanujan International Symposium on Kac-Moody Algebras and Applications, ISKMAA-2002, Jan. 28--31, Chennai,India. Version to be published in Contemporary Mathematics, minor corrections. Source version now contains also A2 level decomposition for Feingold-Frenkel algebra AE3 up to level 56, in addition to tables for E10 and E11 that contain more data than presented in the text | |
| dc.identifier | https://arxiv.org/abs/hep-th/0301017 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0301017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51736 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Low Level Representations for E10 and E11 | |
| dc.type | text |