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math.RA2013
A generalization of the Kantor-Koecher-Tits construction
Jakob Palmkvist
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 pa…
math.RA2005★ 12 cited
A realization of the Lie algebra associated to a Kantor triple system
Jakob Palmkvist
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…