27 citations · 27 across the 1 of their papers we have counts for
3 papers
math.CO2003★ 27 cited
The Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations
Vladimir Ivanov, Sergei Kerov
We prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main…
math.CO1997
The Martin Boundary of the Young-Fibonacci Lattice
Frederick M. Goodman, Sergei V. Kerov
We find the Martin boundary for the Young-Fibonacci lattice YF. Along with the lattice of Young diagrams, this is the most interesting example of a differential poset. The Martin b…
math.CO1997
Anisotropic Young diagrams and Jack symmetric functions
Sergei Kerov
We study the Young graph with edge multiplicities arising in a Pieri-type formula for Jack symmetric polynomials with a parameter . Starting with the empty diagram, w…