Kyushu University Academic Staff Educational and Research Activities Database
List of Reports
Takuya Konno Last modified dateļ¼š2023.06.13

Associate Professor / Division of Algebra and Geometry / Faculty of Mathematics


Reports
1. T KONNO, THE RESIDUAL SPECTRUM OF SP(2), PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Vol.70, No.6, pp.204-207, 1994.06.
2. Takuya Konno, Kazuko Konno, On doubling construction for real unitary dual pairs, KYUSHU JOURNAL OF MATHEMATICS, 10.2206/kyushujm.61.35, Vol.61, No.1, pp.35-82, 2007.03, The Howe duality correspondence for a unitary dual pair over R is usually formulated for the determinant cover of the dual pair. For applications to automorphic theory, one has to use the Weil representation of the unitary dual pair (not of the coverings) instead, which is constructed by the doubling argument of Harris et al (Theta dichotomy for unitary groups. J. Amer. Math. Soc. 9(4) (1996), 941-1004). In this paper, we calculate explicit formulae for the Fock model of this latter representation, and determine the Howe correspondence between K-types under this. This yields a description of the Howe duality correspondence between unitary groups in terms of certain E-factors..