85 citations · 130 across the 6 of their papers we have counts for
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math.RT2012
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…
math.RT2011
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…
math.RT2003★ 85 cited
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…