P. Moylan

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math-ph2004

Representations of Classical Lie Algebras from their Quantum Deformations

P. Moylan

We make use of a well-know deformation of the Poincaré Lie algebra in $p + q + 1$ dimensions ( $p + q > 0$ ) to construct the Poincaré Lie algebra out of the Lie algebras of the de Sitter an…

math-ph2002

Tachyons and Representations of SO(2,3)

Patrick Moylan

We describe an embedding of the Poincare Lie algebra into an extension of the Lie field of SO(2,3) (the anti-de Sitter group). We also describe higher dimensional analogs of this e…