Derived intertwining norms for reducible spherical principal series

Journal of the Australian Mathematical Society

J. E. Gilbert¹ 

[1] R. A. Kunze

关键词: 22E46;    22E30;    43A85;   

DOI  :  10.1017/S1446788700000185

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We use the second derivative of intertwining operators to realize a unitary structure for the irreducible subrepresentations in the reducible spherical principal series of U(1, n). These representations can also be realized as the kernels of certain invariant first-order differential operators acting on sections of homogeneous bundles over the hyperboloid (U(1) × U(n))/U(1, n).

【 授权许可】

Unknown