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Indecomposable Finite-Dimensional Representations of a Class of Lie Algebras and Lie Superalgebras

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Supersymmetry in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2027))

Abstract

The topic of indecomposable finite-dimensional representations of the Poincaré group was first studied in a systematic way by Paneitz [5, 6]. In these investigations only representations with one source were considered, though by duality, one representation with two sources was implicitly present.

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References

  1. G. Cassinelli, G. Olivieri, P. Truini, V.S. Varadarajan, On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields. J. Math. Phys. 30(11), 2692–2707 (1989)

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  7. S.M. Paneitz, I.E. Segal, D.A. Vogan, Jr., Analysis in space-time bundles IV. Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles. J. Funct. Anal. 75, 1–57 (1987)

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Correspondence to Hans Plesner Jakobsen .

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Jakobsen, H.P. (2011). Indecomposable Finite-Dimensional Representations of a Class of Lie Algebras and Lie Superalgebras. In: Ferrara, S., Fioresi, R., Varadarajan, V. (eds) Supersymmetry in Mathematics and Physics. Lecture Notes in Mathematics(), vol 2027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21744-9_6

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