209 citations · 1.2k across the 68 of their papers we have counts for
78 papers
Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions
Cesar Cuenca, Grigori Olshanski
We study the problem of describing the set of real functionals on the quotient of the ring of symmetric functions that are nonnegative on the images of certa…
Limits of group algebras for growing symmetric groups and wreath products
Irina Devyatkova, Grigori Olshanski
Let denote the infinite symmetric group formed by the finitary permutations of the set of natural numbers; this is a countable group. We introduce its virtual group alg…
Infinite-dimensional -Jacobi Markov processes
Grigori Olshanski
The classical Jacobi polynomials on the interval are eigenfunctions of a second order differential operator. It is well known that this operator generates a diffusion proc…
Double Poisson brackets and involutive representation spaces
Grigori Olshanski, Nikita Safonkin
Let be an algebraically closed field of characteristic and be a finitely generated associative -algebra, in general noncommutative. One assigns to a sequ…
Remarks on Yangian-type algebras and double Poisson brackets
Grigori Olshanski, Nikita Safonkin
This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties o…
The centralizer construction and Yangian-type algebras
Grigori Olshanski
Let be a positive integer. The Yangian of the general linear Lie algebra has countably many generators and quad…