Indecomposable Finite-Dimensional Representations of a Class of Lie Algebras and Lie Superalgebras
- 1.8k Downloads
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.
Unable to display preview. Download preview PDF.
- 4.H.P. Jakobsen, Intertwining differential operators for Mp(n, ℝ) and SU(n,n). Trans. Am. Math. Soc. 246, 311–337 (1978)Google Scholar
- 5.S.M. Paneitz, in Indecomposable Finite-Dimensional Representations of the Poincaré Group and Associated Fields. Differential Geometric Methods in Mathematical Physics Springer Lecture Notes in Mathematics, vol. 1139 (Springer, Heidelberg, 1983), pp. 6–9Google Scholar
- 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)Google Scholar