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math.RT2021★ 5 cited
-symbols for representation of the Lie algebra in the Gelfand-Tselin base
Dmitry Artamonov
In the paper a simple explicit formula for an arbitrary -symbol for the Lie algebra is given. More precise necessary conditions for non-vanishing of a -sy…
math.RT2021★ 3 cited
Clebsh-Gordan coefficients for the algebra and hypergeometric functions
Dmitry Artamonov
The Clebsh-Gordan coefficients for the Lie algebra in the Gelfand-Tsetlin base are calculated. In contrast to previous papers the result is given as an explicit f…