Abstract
Let $G$ be a connected semisimple linear real Lie group, and $Q$ (resp. $K$) a real parabolic subgroup (resp. maximal compact subgroup) of $G$. The space of $K$-finite solutions to a conformally invariant system of differential equations on a line bundle over the real flag manifold $G/Q$ is studied. The general theory is then applied to certain second order systems on the flag manifold that corresponds to the Heisenberg parabolic subgroup in a split simple Lie group.
Citation
Anthony C. Kable. "$K$-finite solutions to conformally invariant systems of differential equations." Tohoku Math. J. (2) 63 (4) 539 - 559, 2011. https://doi.org/10.2748/tmj/1325886280
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