D. Artamonov

activity

20132020

most citedA Gelfand-Tsetlin type base for the algebra

sp_{4}

and hypergeometric functions

3 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.RT2016★ 1 cited

A unified approach to construction of Gelfand-Tsetlin-Zhelobenko base vectors for series $A$ , $B$ , $C$ , $D$

D. V. Artamonov

Using the Zhelobenko's approach we investigate a branching of an irreducible representation of $g_{n}$ under the restriction of algebras $g_{n} ↓ g_{n - 1}$ , where $g_{n}$ is a Lie…

math.RT2016

The Gelfand-Tsetlin-Zhelobenko base vectors for the series $B$

D. V. Artamonov

In the paper using the method of $Z$ -invariants of Zhelobenko we construct base vectors of Gelfand-Tsetlin type in a representation of $o_{2 n + 1}$ , based on restrictions…

math.RT2016★ 2 cited

The comparison Gelfand-Tsetlin-Molev and Gelfand-Tsetlin-Zhelobenko bases for $sp_{2 n}$

D. V. Artamonov

A construction of Gelfand-Tsetlin type base vectors in a finite-dimensional representation of $sp_{2 n}$ was firstly obtained in 60-th by Zhelobenko. But the final constr…

A unified approach to construction of Gelfand-Tsetlin-Zhelobenko base vectors for series A, B, C, D

The Gelfand-Tsetlin-Zhelobenko base vectors for the series B

The comparison Gelfand-Tsetlin-Molev and Gelfand-Tsetlin-Zhelobenko bases for sp2n​

A unified approach to construction of Gelfand-Tsetlin-Zhelobenko base vectors for series $A$ , $B$ , $C$ , $D$

The Gelfand-Tsetlin-Zhelobenko base vectors for the series $B$

The comparison Gelfand-Tsetlin-Molev and Gelfand-Tsetlin-Zhelobenko bases for $sp_{2 n}$