Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case
Representation Theory
2015-10-27 v2
Abstract
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra . 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 with suitably chosen maximal parabolic subalgebra.
Cite
@article{arxiv.1504.04204,
title = {Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case},
author = {V. K. Dobrev},
journal= {arXiv preprint arXiv:1504.04204},
year = {2015}
}
Comments
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