1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.RT2016★ 1 cited
On the relation of some combinatorial functions to representation theory
A. Vershik, N. Tsilevich
The paper is devoted to the study of some well-knonw combinatorial functions on the symmetric group $\sn$ --- the major index $\maj$, the descent number $\des$, and the inversion n…
math.RT2014
On a relation between the basic representation of the affine Lie algebra $\widehat\sl$ and a Schur--Weyl representation of the infinite symmetric group
Natalia Tsilevich, Anatoly Vershik
We prove that there is a natural grading-preserving isomorphism of $\sl$-modules between the basic module of the affine Lie algebra $\widehat\sl$ (with the homogeneous grading) and…