Classification of $N$-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of $Spin(p,q)

@inproceedings{Alekseevsky1997ClassificationO,
  title={Classification of \$N\$-(super)-extended Poincar{\'e} algebras and bilinear invariants of the spinor representation of \$Spin(p,q)},
  author={Dmitry V. Alekseevsky and Vicente Cort'es},
  year={1997}
}
We classify extended Poincaré Lie super algebras and Lie algebras of any signature (p, q), that is Lie super algebras and Z 2-graded Lie algebras g = g 0 + g 1 , where g 0 = so(V) + V is the (generalized) Poincaré Lie algebra of the pseudo Euclidean vector space V = R p,q of signature (p, q) and g 1 = S is the spinor so(V)-module extended to a g 0-module with kernel V. The remaining super commutators {g 1 , g 1 } (respectively, commutators [g 1 , g 1 ]) are defined by an so(V)-equivariant… CONTINUE READING

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