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

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.

arXiv comment30 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

Cited by in corpus (2)

• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$