Canonical Gelfand–Zeitlin Modules over Orthogonal Gelfand–Zeitlin Algebras

DOI10.1093/imrn/rnz002zbMath1498.17024arXiv1709.01553OpenAlexW2962701390WikidataQ128645288 ScholiaQ128645288MaRDI QIDQ5853671

Elizaveta Vishnyakova, Volodymyr Mazorchuk, Nicholas Early

Publication date: 11 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01553

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

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LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Twisting functors and Gelfand–Tsetlin modules over semisimple Lie algebras ⋮ A geometric approach to 1-singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules ⋮ Simple modules over the Takiff Lie algebra for sl2 ⋮ Gelfand-Tsetlin modules over \(\mathfrak{gl}(n)\) with arbitrary characters ⋮ Principal Galois orders and Gelfand-Zeitlin modules ⋮ Representations of Lie algebras ⋮ Algebras of invariant differential operators ⋮ Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)

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