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ID: 298217.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
A realization of the Lie algebra associated to a Kantor triple system
Authors:Palmkvist, Jakob
Language:English
Date of Publication (YYYY-MM-DD):2006-02
Title of Journal:Journal of Mathematical Physics
Journal Abbrev.:J. Math. Phys.
Volume:47
Issue / Number:2
Sequence Number of Article:023505
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras [fraktur f]4,[fraktur e]6,[fraktur e]7,[fraktur e]8, in which they are respectively related to the division algebras [openface R],[openface C],[openface H],[openface O]
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
External Affiliations:Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany.
Identifiers:ISI:000235663600033 [ID No:1]
ISSN:0022-2488 [ID No:2]
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