1 citations · 2 across the 6 of their papers we have counts for
6 papers
On the structure of the necklace Lie algebra
Jacques Alev, Geert Van de Weyer
In this note, we initiate the systematic study of the Lie algebra structure of the necklace Lie algebra n of a free algebra in 2d variables. We begin by giving a description of n a…
Double Poisson Cohomology of Path Algebras of Quivers
Anne Pichereau, Geert Van de Weyer
In this note, we give a description of the graded Lie algebra of double derivations of a path algebra as a graded version of the necklace Lie algebra equipped with the Kontsevich b…
Double Poisson structures on finite dimensional semi-simple algebras
Geert Van de Weyer
We give a description of the bimodule of double derivations DDer(S) of a finite dimensional semi-simple algebra S and its double Schouten bracket in terms of a quiver. This descrip…
First Steps towards Hyper-desingularization through Brauer-Severi Varieties
Raf Bocklandt, Stijn Symens, Geert Van de Weyer
Given a Cayley-Hamilton smooth order A in a central simple algebra , we determine the flat locus of the Brauer-Severi fibration of the smooth order. Moreover, we give a classifi…
Formal structures and representation spaces
Lieven Le Bruyn, Geert Van de Weyer
M. Kapranov introduced and studied in math.AG/9802041 the noncommutative formal structure of a smooth affine variety. In this note we show that his construction is a special case o…
Smooth Character Varieties for Torus Knot Groups
Jan Adriaenssens, Raf Bocklandt, Geert Van de Weyer
Semisimple representations of the free product Z_p*Z_q determine θ-semistable representations of a specific quiver Q_pq. The dimension vectors of θ-stable representations of this q…