Alexander P. Veselov

most citedBurchnall-Chaundy polynomials and the Laurent phenomenon

5 citations · 6 across the 2 of their papers we have counts for

collaborators

2 papers

math.GT2023★ 1 cited

Burau representation of braid groups and $q$ -rationals

Sophie Morier-Genoud, Valentin Ovsienko, Alexander Veselov

We establish a link between the new theory of $q$ -deformed rational numbers and the classical Burau representation of the braid group $B_{3}$ . We apply this link to the open…

math-ph2014★ 5 cited

Burchnall-Chaundy polynomials and the Laurent phenomenon

A. P. Veselov, R. Willox

The Burchnall-Chaundy polynomials $P_{n} (z)$ are determined by the differential recurrence relation $P_{n + 1}^{'} (z) P_{n - 1} (z) - P_{n + 1} (z) P_{n - 1}^{'} (z) = P_{n} (z)^{2}$ with $P_{- 1} = P_{0} (z) = 1.$ T…

Burau representation of braid groups and q-rationals

Burchnall-Chaundy polynomials and the Laurent phenomenon

Burau representation of braid groups and $q$ -rationals