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Null-plane Quantum Poincar\'e Algebras and their Universal $R$-matrices

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arxiv q-alg/9701028 v1 pith:XZK5NACX submitted 1997-01-27 q-alg math.QA

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keywords matricesnull-planepoincarquantumuniversalalgebraalgebrasbases
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abstract

A non-standard quantum deformation of the Poincar\'e algebra is presented in a null-plane framework for 1+1, 2+1 and 3+1 dimensions. Their corresponding universal $R$-matrices are obtained in a factorized form by choosing suitable bases related to the $T$-matrix formalism.

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