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Generalization of extended Lie algebras by expansions of extended de Sitter algebra, in four-dimensions (1905.09200v2)
Published 22 May 2019 in hep-th
Abstract: Four-dimensional extended: Poincar\'e, AdS-Lorentz and Maxwell algebras, are obtained by expanding an extension of de Sitter or conformal algebra, SO(4,1) or SO(3,2). The procedure can be generalized to obtain a new family of extended $\mathcal{C}_k{E}$ and its flat limit, the extended $\mathcal{B}_k{E}$ algebras. The extended $\mathcal{C}_k$ and $\mathcal{B}_k$ algebras have been introduced in the literature recently.The extended Poincar\'e algebra is also obtained as an In\"on\"u-Wigner contraction of extended de Sitter algebra.
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