3 citations · 6 across the 5 of their papers we have counts for
5 papers
A Gelfand-Tsetlin type base for the algebra and hypergeometric functions
Dmitry Artamonov
In the paper a realization of representation of a Lie algebra in the space of function on the Lie group is considered. We find a function corresponding to…
A unified approach to construction of Gelfand-Tsetlin-Zhelobenko base vectors for series , , ,
D. V. Artamonov
Using the Zhelobenko's approach we investigate a branching of an irreducible representation of under the restriction of algebras , where is a Lie…
The Gelfand-Tsetlin-Zhelobenko base vectors for the series
D. V. Artamonov
In the paper using the method of -invariants of Zhelobenko we construct base vectors of Gelfand-Tsetlin type in a representation of , based on restrictions…
The comparison Gelfand-Tsetlin-Molev and Gelfand-Tsetlin-Zhelobenko bases for
D. V. Artamonov
A construction of Gelfand-Tsetlin type base vectors in a finite-dimensional representation of was firstly obtained in 60-th by Zhelobenko. But the final constr…
Wigner coefficient for Lie algebras of series and a base of Gelfand-Tsetlin type
D. V. Artamonov, V. A. Goloubeva
For the Lie algebras a simple construction of a base in an irreducible representation is given. The construction of…