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Invariant operators in some space of vector functions
V. M. Gordienkoab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We consider the vector functions transforming in accord with the representations of the groups $SO(3)$ and $SU(2)$ and provide the formulas of the action on the functions of nine invariant operators.
Keywords:
representations of $SO(3)$ and $SU(2)$, Clebsch–Gordan coefficients, invariant vector functions, invariant operators.
Received: 07.06.2021 Revised: 29.07.2021 Accepted: 11.08.2021
Citation:
V. M. Gordienko, “Invariant operators in some space of vector functions”, Sibirsk. Mat. Zh., 62:6 (2021), 1271–1284; Siberian Math. J., 62:6 (2021), 1026–1038
Linking options:
https://www.mathnet.ru/eng/smj7627 https://www.mathnet.ru/eng/smj/v62/i6/p1271
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Abstract page: | 387 | Full-text PDF : | 44 | References: | 51 | First page: | 8 |
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