1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.RT2006★ 1 cited
Induced Representations of Infinite Symmetric Group
N. V. Tsilevich, A. M. Vershik
We study the representations of the infinite symmetric group induced from the identity representations of Young subgroups. It turns out that such induced representations can be eit…
math-ph2005
Quantum inverse scattering method for the q-boson model and symmetric functions
N. V. Tsilevich
The purpose of this paper is to show that the quantum inverse scattering method for the so-called q-boson model has a nice interpretation in terms of the algebra of symmetric funct…
math.PR2001
On the simplest split-merge operator on the infinite-dimensional simplex
Natalia Tsilevich
We consider the simplest split-merge Markov operator on the infinite-dimensional simplex of monotone non-negative sequences with unit sum. For a sequence , it pi…