3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2017★ 1 cited
On the matchings-Jack and hypermap-Jack conjectures for labelled matchings and star hypermaps
Andrei L. Kanunnikov, Valentin V. Promyslov, Ekaterina A. Vassilieva
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the -conjecture) are two major open question…
math.RA2016
Criteria on group G for Goldie theorems to be true for all G-graded rings
Andrei L. Kanunnikov
We present two criteria for a group to satisfy the following statements: any -graded gr-prime (gr-semiprime) right gr-Goldie ring admits a gr-semisimple graded right classic…
math.CO2014★ 3 cited
A recurrence formula for Jack connection coefficients
Andrei L. Kanunnikov, Ekaterina A. Vassilieva
This article is devoted to the study of Jack connection coefficients, a generalization of the connection coefficients of the classical commutative subalgebras of the group algebra…