
Journal of Lie Theory 30 (2020), No. 1, 201222 Copyright Heldermann Verlag 2020 SchrödingerType Equations and Unitary Highest Weight Representations of U(n,n) Markus Hunziker Dept. of Mathematics, Baylor University, Waco, TX 767987328, U.S.A. Markus_Hunziker@baylor.edu Mark R. Sepanski Dept. of Mathematics, Baylor University, Waco, TX 767987328, U.S.A. Mark_Sepanski@baylor.edu Ronald J. Stanke Dept. of Mathematics, Baylor University, Waco, TX 767987328, U.S.A. Ronald_Stanke@baylor.edu A system of differential equations is defined and the solutions to this system in a certain induced space is shown to be isomorphic to the wellknown models of unitary highest weight representations of U(n,n) studied by Kashiwara and Vergne. Keywords: Schroedinger equations, unitary highest weight representations. MSC: 22E46 [ Fulltextpdf (204 KB)] for subscribers only. 