Characters of some unitary highest weight representations via the theta correspondence
نویسندگان
چکیده
منابع مشابه
Unitary representations and theta correspondence for type I classical groups
In this paper, we discuss the positivity of the Hermitian form ð; Þp introduced by Li in Invent. Math. 27 (1989) 237–255. Let ðG1;G2Þ be a type I dual pair with G1 the smaller group. Let p be an irreducible unitary representation in the semistable range of yðMG1;MG2Þ (see Communications in Contemporary Mathematics, Vol. 2, 2000, pp. 255–283). We prove that the invariant Hermitian form ð; Þp is ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2020
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2020.108698