3 citations · 6 across the 6 of their papers we have counts for
6 papers
Classical -symbols for finite dimensional representation of the algebra
D. V. Artamonov
In the paper an explicit formula for an arbitrary -symbol for finite-dimensional irreducible representations of the algebra is derived. A -symbol is writt…
A functional realization of the Gelfand-Tsetlin base
D. V. Artamonov
In the paper we consider a realization of a finite dimensional irreducible representation of the Lie algebra in the space of functions on the group . It is…
The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with the rank one lattice
D. V. Artamonov
An explicit description of a multidimensional Stokes phenomenon for a Gelfand-Kapranov-Zelevinsky system associated with a lattice of rank one is given.
Central elements in the universal enveloping algebra and function of matrix elements
D. V. Artamonov, V. A. Golubeva
In the paper a construction of central elements in and based on invariant theory is given. New function of matrix elements that appear in de…
-algebras and higher analogs of the Kniznik-Zamolodchikov equations
D. V. Artamonov, V. A. Golubeva
The key role in the derivation of the Knizhnik-Zamolodchikov equations in the -theory is played by the energy-momentum tensor, that is constructed from a central Casimir eleme…
Knizhnik-Zamolodchikov type equations for the root system and Capelli central elements
D. V. Artamonov, V. A. Goloubeva
The construction of the well-known Knizhnik-Zamolodchikov equations uses the central element of the second order in the universal enveloping algebra for some Lie algebra. But in th…