85 citations · 130 across the 6 of their papers we have counts for
7 papers
Finite traces and representations of the group of infinite matrices over a finite field
Vadim Gorin, Sergei Kerov, Anatoly Vershik
The article is devoted to the representation theory of locally compact infinite-dimensional group of almost upper-triangular infinite matrices over the finite field…
Block characters of the symmetric groups
Alexander Gnedin, Vadim Gorin, Sergei Kerov
Block character of a finite symmetric group S(n) is a positive definite function which depends only on the number of cycles in permutation. We describe the cone of block characters…
Harmonic analysis on the infinite symmetric group
Sergei Kerov, Grigori Olshanski, Anatoly Vershik
Let S be the group of finite permutations of the naturals 1,2,... The subject of the paper is harmonic analysis for the Gelfand pair (G,K), where G stands for the product of two co…
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…
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…
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…