146 citations · 520 across the 35 of their papers we have counts for
8 papers · 1 filter
q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups
Cesar Cuenca, Vadim Gorin
The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalize…
A quantization of the harmonic analysis on the infinite-dimensional unitary group
Vadim Gorin, Grigori Olshanski
The present work stemmed from the study of the problem of harmonic analysis on the infinite-dimensional unitary group U(\infty). That problem consisted in the decomposition of a ce…
Representations of classical Lie groups and quantized free convolution
Alexey Bufetov, Vadim Gorin
We study the decompositions into irreducible components of tensor products and restrictions of irreducible representations of classical Lie groups as the rank of the group goes to…
Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
Vadim Gorin, Greta Panova
We develop a new method for studying the asymptotics of symmetric polynomials of representation-theoretic origin as the number of variables tends to infinity. Several applications…
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…
The q-Gelfand-Tsetlin graph, Gibbs measures and q-Toeplitz matrices
Vadim Gorin
The problem of the description of finite factor representations of the infinite-dimensional unitary group, investigated by Voiculescu in 1976, is equivalent to the description of a…
Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group
Vadim Gorin
We prove pairwise disjointness of representations T_{z,w} of the infinite-dimensional unitary group. These representations provide a natural generalization of the regular represent…