Generalization of extended Lie algebras by expansions of extended de Sitter algebra, in four-dimensions

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 CkE and its flat limit, the extended BkE algebras. The extended Ck and Bk 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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