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ID: 50942.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Low Level Representations for E10 and E11
Authors:Nicolai, Hermann; Fischbacher, Thomas
Language:English
Publisher:American Mathematical Society
Place of Publication:Providence, RI
Date of Publication (YYYY-MM-DD):2004
Title of Proceedings:Proceedings of International Symposium on Kac Moody Algebras and Applications
Start Page:191
End Page:228
Title of Series:Contemporary mathematics
Volume (in Series):343
Name of Conference/Meeting:Ramanujan International Symposium on Kac-Moody Lie Algebras and Applications
Place of Conference/Meeting:Chennai, India
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2002-01-28
End Date of Conference/Meeting 
 (YYYY-MM-DD):
2002-01-31
Review Status:not specified
Audience:Not Specified
Abstract / Description: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 ` = 18 and for E11 up to level ` = 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.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
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