Mathematics – Representation Theory
Scientific paper
2011-04-11
Mathematics
Representation Theory
This paper contains the results in the previous paper for type D_4 as well
Scientific paper
In earlier work, Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to Heisenberg parabolic subalgebras in simple Lie algebras. The construction was systematic, but the existence of such a system was left open in two cases, namely, the $\Omega_3$ system for type $A_2$ and type $D_4$. Here, such a system is shown to exist for both cases. The construction of the system may also be interpreted as giving an explicit homomorphism between generalized Verma modules.
No associations
LandOfFree
A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{sl}(3,\mathbb{C})$ and $\mathfrak{so}(8,\mathbb{C})$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{sl}(3,\mathbb{C})$ and $\mathfrak{so}(8,\mathbb{C})$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{sl}(3,\mathbb{C})$ and $\mathfrak{so}(8,\mathbb{C})$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-58904