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arXiv · 1312.5998

Invariant Differential Operators for Non-Compact Lie Groups: the Reduced SU(3,3) Multiplets

V. K. Dobrev
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Abstract

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras $su(n,n)$. Earlier were given the main multiplets of indecomposable elementary representations for $n\leq 4$, and the reduced ones for $n=2$. Here we give all reduced multiplets containing physically relevant representations including the minimal ones for the algebra $su(3,3)$. Due to the recently established parabolic relations the results are valid also for the algebra $sl(6,\mathbb{R})$ with suitably chosen maximal parabolic subalgebra.

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V. K. Dobrev. 2013-12-20. Invariant Differential Operators for Non-Compact Lie Groups: the Reduced SU(3,3) Multiplets. https://doi.org/10.1134/s1547477114070164

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