Multiplet classification for SU(n,n)
Representation Theory
2015-06-23 v1
Abstract
In the present paper we review our project of systematic construction of invariant differential operators on the example of the non-compact algebras su(n,n) for n=2,3,4. We give explicitly the main multiplets of indecomposable elementary representations and some reduced multiplets. We give explicitly the minimal representations. Due to the recently established parabolic relations the multiplet classification results are valid also for the algebras sl(2n,R) and when n=2k for the algebras su*(4k) with suitably chosen maximal parabolic subalgebras.
Cite
@article{arxiv.1412.8038,
title = {Multiplet classification for SU(n,n)},
author = {V. K. Dobrev},
journal= {arXiv preprint arXiv:1412.8038},
year = {2015}
}
Comments
21 pages, 16 figures, Review paper based on Plenary talk at the International Conference on Integrable Systems and Quantum Symmetries, Prague, June 2014