Gelfand-Tsetlin modules of 𝔰𝔩(3) in the principal block

DOI10.1090/conm/713/14314zbMath1462.17012OpenAlexW2888695146MaRDI QIDQ5234918

Luis Enrique Ramirez, Dimitar Grantcharov, Vyacheslav M. Futorny

Publication date: 7 October 2019

Published in: Representations of Lie Algebras, Quantum Groups and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/713/14314

zbMATH Keywords

Gelfand-Tsetlin basisGelfand-Tsetlin modulestableaux realization

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group \(\mathrm{GL}(n, \mathbb{C})\) in the space of functions on the variety of these schemes
• Irreducible weighted sl(3)-modules
• Singular Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\)
• On algebraic integrability of Gelfand-Zeitlin fields
• On a construction of representations and a problem of Enright
• A geometric approach to 1-singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules
• Gelfand-Tsetlin modules over \(\mathfrak{gl}(n)\) with arbitrary characters
• Infinite-dimensional representations of the Lie algebra \(\mathfrak{gl}(n,\mathbb C)\) related to complex analogs of the Gelfand-Tsetlin patterns and general hypergeometric functions on the Lie group \(\text{GL}(n,\mathbb C)\).
• Classification of irreducible weight modules
• Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\)
• Tableaux Realization of Generalized Verma Modules
• The Gelfand–Zeitlin integrable system and K-orbits on the flag variety
• A new way to construct 1-singular Gelfand-Tsetlin modules

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