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SL$_{4}(\textbf{Z})$ is not purely matricial field
Published 2024-10-01Subjects: “…Finite dimensionnal unitary representations…”
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Unitary $L^{p+}$-representations of almost automorphism groups
Published 2024-05-01“…Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze–Stein property, and let $\pi $ be a unitary representation of $H$. We show that the representation $\widetilde{\pi }$ of $G$ induced from $\pi $ is an $L^{p+}$-representation if and only if $\pi $ is an $L^{p+}$-representation. …”
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Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality
Published 2025-01-01“…In particular, the protected correlation functions in the class of theories denoted as T[G] are naturally related to the theory of unitary representations of complex or real semi-simple Lie groups.…”
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Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Published 2020-01-01“…In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space. …”
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