Journal of Lie Theory 30 (2020), No. 1, 201--222
Copyright Heldermann Verlag 2020
Schrödinger-Type Equations and Unitary Highest Weight Representations of U(n,n)
Markus Hunziker
Dept. of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.
Markus_Hunziker@baylor.edu
Mark R. Sepanski
Dept. of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.
Mark_Sepanski@baylor.edu
Ronald J. Stanke
Dept. of Mathematics, Baylor University, Waco, TX 76798-7328, 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 well-known models of unitary highest weight representations of U(n,n) studied by Kashiwara and Vergne.
Keywords: Schroedinger equations, unitary highest weight representations.
MSC: 22E46
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