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

DOI10.1134/S0040577922040018zbMath1515.17015arXiv2201.09017MaRDI QIDQ6388882

Dmitry V. Artamonov

Publication date: 22 January 2022

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

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• Description of a class of projection operators for semisimple complex Lie algebras
• Antisymmetrization of the Gel'fand-Kapranov-Zelevinskii systems
• A Gelfand-Tsetlin-type basis for the algebra \(\mathfrak{sp}_4\) and hypergeometric functions
• Formula for the product of Gauss hypergeometric functions and applications
• Noncommutative Pfaffians and classification of states of five-dimensional quasi-spin
• General hypergeometric systems of equations and series of hypergeometric type
• Clebsh–Gordan coefficients for the algebra 𝔤𝔩₃ and hypergeometric functions
• On the Representations of the Semisimple Lie Groups. II

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