209 citations · 1.2k across the 68 of their papers we have counts for
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math-ph2000★ 116 cited
Infinite random matrices and ergodic measures
Alexei Borodin, Grigori Olshanski
We introduce and study a 2-parameter family of unitarily invariant probability measures on the space of infinite Hermitian matrices. We show that the decomposition of a measure fro…
math.CO2000★ 3 cited
Frobenius-Schur functions: summary of results
Grigori Olshanski, Amitai Regev, Anatoly Vershik
We introduce and study a family of inhomogeneous symmetric functions which we call the Frobenius-Schur functions. These functions are indexed by partitions and differ from the conv…
math.RT2000
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
A. I. Molev, G. I. Olshanski
In our recent papers the centralizer construction was applied to the series of classical Lie algebras to produce the quantum algebras called (twisted) Yangians. Here we extend this…