U（p，q）的极大亚椭圆性和Dolbeault上同调表示
Maximal hypoellipticity and Dolbeault cohomology representations for U(p,q)
摘要：
设Y=G/L是约化G的旗流形，K是G的极大紧子群.我们定义了一个等变的微分算子G/（L帽K）发挥的作用时，限制到复流形G/L的等变的Dolbeault拉普拉斯算子，使用的分布横向的纤维和满足Hormander条件。证明了当G=U（p，q）时，该算子不是极大亚椭圆算子.
英文摘要：
Let Y=G/L be a flag manifold for a reductive G and K a maximal compact subgroup of G. We define an equivariant differential operator on G/(L cap K) playing the role of an equivariant Dolbeault Laplacian when restricted to the complex manifold G/L, using a distribution transverse to the fibers and satisfying the Hormander condition. We prove here that this operator is not maximal hypoelliptic when G=U(p,q).
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