A Gelfand-Tsetlin-type basis for the algebra \(\mathfrak{sp}_4\) and hypergeometric functions

DOI10.1134/S0040577921030016MaRDI QIDQ2036342

Dmitry V. Artamonov

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02334

zbMATH Keywords

Gelfand-Tsetlin basis\(A\)-hypergeometric function

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

A functional realization of the Gelfand-Tsetlin base ⋮ A functional approach to a Gelfand-Tsetlin type base for $\mathfrak{o}_5$

Cites Work

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• Formula for the product of Gauss hypergeometric functions and applications
• Construction of the Gelfand-Tsetlin basis for unitary principal series representations of the algebra \(sl_n(\mathbb{C})\)
• Normalized Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis and new summation formulas for q-hypergeometric functions
• General hypergeometric systems of equations and series of hypergeometric type
• Polynomial realization of the Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis
• Clebsh–Gordan coefficients for the algebra 𝔤𝔩₃ and hypergeometric functions
• Character states and generator matrix elements for Sp(4)⊃SU(2)×U(1)
• On the Representations of the Semisimple Lie Groups. II

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