4 citations · 8 across the 12 of their papers we have counts for
12 papers
Irreducibility of the Koopman representations for the group acting on three infinite rows
Alexandre Kosyak, Pieter Moree
Consider the inductive limit of the general linear groups , acting on the space of rows, inf…
Cyclotomic polynomials with prescribed height and prime number theory
Alexandre Kosyak, Pieter Moree, Efthymios Sofos +1
Given any positive integer let denote the height of the cyclotomic polynomial, that is its maximum coefficient in absolute value. It is well known that…
The Ismagilov conjecture over a finite field
Alexandre Kosyak
We construct the so-called quasiregular representations of the group of infinite upper triangular matrices with coefficients in a finite field and…
Criteria of irreducibility of the Koopman representations for the group
Alexandre Kosyak
Our aim is to find the irreducibility criteria for the Koopman representation, when the group acts on some space with a measure (Conjecture 1.5). Some general necessary conditions…
The Lawrence-Krammer representation is a quantization of the symmetric square of the Burau representation
Alexandre Kosyak
We show that the Lawrence--Krammer representation can be obtained as the quantization of the symmetric square of the Burau representation. This connection allows us to construct ne…
Induced representations of infinite-dimensional groups
Alexandre Kosyak
The induced representation of a locally compact group is the unitary representation of the group associated with unitary representation $S:H\rightarrow U(V…