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math.AG2008
A commuting derivations theorem on UFDs
Harm Derksen, Arno van den Essen, Stefan Maubach
Let be the polynomial ring over (a field of characteristic zero) in variables. The commuting derivations conjecture states that commuting locally nilpotent deriva…
math.CO2008★ 9 cited
New Graphs of Finite Mutation Type
Harm Derksen, Theodore Owen
To a directed graph without loops and 2-cycles, we can associate a skew-symmetric matrix with integer entries. Mutations of such skew-symmetric matrices, and more generally skew-sy…
math.CO2008★ 2 cited
Symmetric and Quasi-Symmetric Functions associated to Polymatroids
Harm Derksen
To every subspace arrangement X we will associate symmetric functions P[X] and H[X]. These symmetric functions encode the Hilbert series and the minimal projective resolution of th…