Vol. 214, No. 2, 2004

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Hou Zixin & Liang Ke & Zhu Fuhai

Abstract

In this paper, we consider unitary representations of classical groups of equal rank (rankG = rankK) except type CI with regular lambda-lowest K-type and get the necessary and suficient condition such that those unitary representations considered have nonzero Dirac cohomology.

Authors
Hou Zixin
College of Mathematical Sciences
Nankai University
Tianjin 300071
China
Liang Ke
College of Mathematical Sciences and LPMC
Nankai University
Tianjin 300071
China
Zhu Fuhai
School of Mathematical Sciences
Peking University
Beijing 100871
China