2003/01/06 by Hermann Nicolai, Nicolai, Hermann, Thomas Fischbacher +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Tensor decomposition and applications #hep-th #math.QA
paper · pdf · doi:10.48550/arxiv.hep-th/0301017
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
openalex publication_date 2003/01/06 · arxiv created 2003/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respective subalgebras A9 and A10 at low levels. Tables of the irreducible representations with their outer multiplicities are presented for E10 up to level ℓ = 18 and for E11 up to level ℓ =10. On the way we confirm and extend existing results for E10 root multiplicities, and for the first time compute non-trivial root multiplicities of E11.