论非可裂F_4的不可约酉表示的精确极限(英)

ON THE EXPLICIT LIMITATIONS OF IRREDUCIBLE UNITARY REPRESENT ATIONS FOR NONSPLIT F_4

该文利用陈仲沪文中给出的精确图,对线性连通单李群非可裂F4计算出Baldoni-SilvaandKnapp的定理1.1（b）中c0＝min的精确值.从而在条件minA＝1下精确地确定了Langlands商J（MAN,）当c＞c0时不是无穷不酉的.

In this paper, using the explicit diagrams given by Cheng, for the linear connected simple Liegroup nonsplit F4,we shall work out explicitly c0=min ( )in the theoreml. 1 (b) in the paper of Baldoni-silva and Knapp. and thus we can explicitly determine the Langlands quotients J(MAN,) for nonsplit F4 are not infinilesimally unitary for c>c0 under the condition that dim A= 1.