5 citations · 10 across the 5 of their papers we have counts for
5 papers
The Gelfand-Tsetlin type base for the algebra
Dmitry Artamonov
The paper presents a construction of finite-dimensional irreducible representations of the Lie algebra . The representation space is constructed as the space of sol…
Calculation of -symbols for the Lie algebra
Dmitry Artamonov
An explicit description of the multiplicity space that describes occurrences of irreducible representations in a splitting of a tensor product of two irreducible representations of…
A functional approach to a Gelfand-Tsetlin type base for
Dmitry Artamonov
A realization of representations of the Lie algebra in the space of functions on a group is considered. In a representation we take a Gelfand-T…
-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…
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…