A Gelfand–Tsetlin-type basis for the algebra $$\mathfrak{sp}_4$$ and hypergeometric functions-Reference-Cited by-同舟云学术

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

Published:2021-03 Issue:3 Volume:206 Page:243-257
ISSN:0040-5779
Container-title:Theoretical and Mathematical Physics
language:en
Short-container-title:Theor Math Phys

Author:

Artamonov D. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1134/S0040577921030016.pdf

Reference14 articles.

1. D. P. Zhelobenko, Compact Lie Groups and Their Representations [in Russian], MTsNMO, Moscow (2007); English transl. prev. ed. (Transl. Math. Monogr., Vol. 40), Amer. Math. Soc., Providence, R. I. (1973).

2. A. I. Molev, Yangians and Classical Lie Algebras [in Russian], MTsNMO, Moscow (2009); English transl. prev. ed. (Transl. Math. Monogr., Vol. 143), Amer. Math. Soc., Providence, R. I. (1961).

3. L. C. Baid and G. E. Biedenharn, “On the representations of semisimple Lie groups: II,” J. Math. Phys., 4, 1449–1466 (1963).

4. D. V. Artamonov, “Formula for the product of Gauss hypergeometric functions and applications,” J. Math. Sci. (N. Y.), 249, 817–826 (2020).

5. D. V. Artamonov, “Clebsh–Gordon coefficients for $$ \mathfrak{gl} _3$$ and hypergeometric functions [in Russian],” Algebra i Analiz, 33, No. 1, 1–29 (2021).

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