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  A realization of the Lie algebra associated to a Kantor triple system

Palmkvist, J. (2006). A realization of the Lie algebra associated to a Kantor triple system. Journal of Mathematical Physics, 47(2): 023505.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4AAD-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4AAE-8
Genre: Journal Article

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 Creators:
Palmkvist, Jakob1, Author           
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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]

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Language(s): eng - English
 Dates: 2006-02
 Publication Status: Issued
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 Identifiers: eDoc: 298217
ISI: 000235663600033
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Title: Journal of Mathematical Physics
  Alternative Title : J. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 47 (2) Sequence Number: 023505 Start / End Page: - Identifier: ISSN: 0022-2488