Completeness of coherent systems associated to lattices

Abstract: The talk considers the relation between the spanning properties of a lattice orbit of a square-integrable projective representation and the associated lattice co-volume. Under a suitable compatibility condition between the cocycle and the lattice, the density theorem provides a trichotomy that precisely describes the spanning properties of a given lattice orbit. For classes of Lie groups, the interplay between the density theorem and Perelomov’s completeness problem will be considered.

functional analysisgroup theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Groups, Operators, and Banach Algebras Webinar

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