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arXiv:1504.04204 [math.RT]AbstractReferencesReviewsResources

Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case

V. K. Dobrev

Published 2015-04-16Version 1

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra $so^*(12)$. 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.

Comments: 7 pages, 1 figure, Latex2e, Invited talk at the XXX International Colloquium on Group Theoretical Methods in Physics (Ghent, July 2014). arXiv admin note: substantial text overlap with arXiv:1402.0190, arXiv:1312.5998
Journal: J. Phys.: Conf. Ser. 597 (2015) 012032
Categories: math.RT
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