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Invariant Differential Operators for Non-Compact Lie Groups: the $E_{6(-14)}$ case

arXiv:0812.2655

Abstract

In the present paper we continue the project of systematic explicit construction of invariant differential operators. On the example of the non-compact exceptional group $E_{6(-14)}$ we give the multiplets of indecomposable elementary representations. This includes the data for all relevant invariant differential operators.

30 pages, 18 figures, TEX with input files harvmac.tex, amssym.def, amssym.tex, Proceedings, V School in Modern Mathematical Physics, Belgrade, Serbia, 2008 (Institute of Physics, Belgrade, 2009) pp. 95-124. v3: added acknowledgements