3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.RT2023★ 3 cited
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…
math.RT2022★ 1 cited
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…
math.RT2012
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…