Invariant Differential Operators for Non-Compact Lie Groups: the $S{O}^{\ast }(12)$ Case

Abstract

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra $s{o}^{\ast }(12)$. We give the main multiplets of indecomposable elementary representations. Due to the recently established parabolic relations the multiplet classification results are valid also for the algebra $so(6,6)$ with suitably chosen maximal parabolic subalgebra.

7 pages, 1 figure, Latex2e, Invited talk at the XXX International Colloquium on Group Theoretical Methods in Physics (Ghent, July 2014), Text overlap in Preliminaries with arXiv:1402.0190, arXiv:1312.5998; V2: misprints corrected

References in corpus (1)

• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras