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A generalization of...
A generalization of the Kantor-Koecher-Tits construction
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- Palmkvist, Jakob, 1980- (författare)
- Albert Einstein Institute, Golm, Germany
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(creator_code:org_t)
- Tallinn University of Technology, 2008
- 2008
- Engelska.
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Ingår i: Journal of Generalized Lie Theory and Applications. - : Tallinn University of Technology. - 1736-5279 .- 1736-4337. ; 2:3, s. 226-230
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Abstract
Ämnesord
Stäng
- The Kantor-Koecher-Tits construction associates a Lie algebra to any Jordan algebra. We generalize this construction to include also extensions of the associated Lie algebra. In particular, the conformal realization of so(p + 1, q + 1) generalizes to so(p + n, q + n), for arbitrary n, with a linearly realized subalgebra so(p, q). We also show that the construction applied to 3 × 3 matrices over the division algebras R, C, H, O gives rise to the exceptional Lie algebras f4, e6, e7, e8, as well as to their affine, hyperbolic and further extensions.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
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