29 citations · 167 across the 26 of their papers we have counts for
28 papers
Pairs of intertwined integer sequences
Christian Kassel, Christophe Reutenauer
In previous work we computed the number of ideals of codimension of the algebra of two-variable Laurent polynomials over a finite…
Braid groups and symplectic Steinberg groups
François Digne, Christian Kassel
We construct a homomorphism from the braid group on strands to the Steinberg group associated with the Lie type and with integer coefficients. This homo…
A braid-like presentation of the integral Steinberg group of type
Christian Kassel
We show that the Steinberg group associated with the Lie type and with integer coefficients can be realized as a quotient of the braid group $B_6…
Principal fiber bundles in non-commutative geometry
Christian Kassel
These are the expanded notes of a course given at the Summer school "Geometric, topological and algebraic methods for quantum field theory" held at Villa de Leyva, Colombia in July…
Complete determination of the zeta function of the Hilbert scheme of points on a two-dimensional torus
Christian Kassel, Christophe Reutenauer
We compute the coefficients of the polynomials defined by the equation \begin{equation*} 1 + \sum_{n\geq 1} \, \frac{C_n(q)}{q^n} \, t^n = \prod_{i\geq 1}\, \frac{(1-t^i)^…
The Fourier expansion of η(z)η(2z)η(3z)/η(6z)
Christian Kassel, Christophe Reutenauer
We compute the Fourier coefficients of the weight one modular form in terms of the number of representations of an integer as a sum of two squares. We deduce…