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math.RT2012★ 5 cited
On the homomorphisms between the generalized Verma modules arising from conformally invariant systems
Toshihisa Kubo
It is shown by Barchini, Kable, and Zierau that conformally invariant systems of differential operators yield explicit homomorphisms between certain generalized Verma modules. In t…
math.RT2012★ 2 cited
Special Values for Conformally Invariant Systems Associated to Maximal Parabolics of Quasi-Heisenberg Type
Toshihisa Kubo
In this paper we construct conformally invariant systems of first order and second order differential operators associated to a homogeneous line bundle $\Cal{L}_{s} \to G_0/Q_0$ wi…
math.RT2010
A System of Third-Order Differential Operators Conformally Invariant under
Toshihisa Kubo
In earlier work, Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to Heisenberg parabolic subalgebras in simpl…