Canonical Gelfand–Zeitlin Modules over Orthogonal Gelfand–Zeitlin Algebras
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DOI: 10.1093/imrn/rnz002
Abstract: We prove that every orthogonal Gelfand–Zeitlin algebra $U$ acts (faithfully) on its Gelfand–Zeitlin subalgebra $\Gamma $. Considering the dual module, we show that every Gelfand–Zeitlin character of $\Gamma $ is realizable in a $U$-module. We… read more here.
Keywords: gelfand zeitlin; orthogonal gelfand; zeitlin modules; zeitlin ... See more keywords