Branching rules and Clebsch–Gordan series for E8
- 1 August 1976
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (8) , 1371-1375
- https://doi.org/10.1063/1.523086
Abstract
Branching rules for the second lowest dimensional representation of the exceptional simple Lie algebra of type E8 are given with repsect to all its 14 maximal semisimple subalgebras. This representation of E8 is of dimension 3875, the maximal subalgebras are of types A8, D8, A1-A7, A1-E7, A2-E6, A3-D5, A4-A4, A1-A2-A5, G2-F4, A1-A2, C2, and three nonconjugate subalgebras all of type A1. The Clebsch–Gordan series, necessary for decomposition of the direct product of three representations of dimension 248, are given.Keywords
This publication has 7 references indexed in Scilit:
- as a Universal Gauge GroupPhysical Review Letters, 1976
- A universal gauge theory model based on E6Physics Letters B, 1976
- Six-quark model for the suppression ofneutral currentsPhysical Review D, 1975
- Embedding of a Simple Lie Group into a Simple Lie Group and Branching RulesJournal of Mathematical Physics, 1967
- A formula for the multiplicity of a weightTransactions of the American Mathematical Society, 1959
- The maximal subgroups of the classical groupsPublished by American Mathematical Society (AMS) ,1957
- Semisimple subalgebras of semisimple Lie algebrasPublished by American Mathematical Society (AMS) ,1957