3 citations · 3 across the 1 of their papers we have counts for
6 papers
Finite good filtration dimension for modules over an algebra with good filtration
Wilberd van der Kallen
Let G be a connected reductive linear algebraic group over a field k of characteristic p>0. Let p be large enough with respect to the root system. We show that if a finitely genera…
Homology stability for unitary groups
Behrooz Mirzaii, Wilberd van der Kallen
In this paper homology stability for unitary groups over a ring with finite unitary stable rank is established. Homology stability of symplectic groups and orthogonal groups appear…
Cohomology with Grosshans graded coefficients
Wilberd van der Kallen
Let the reductive group G act on the finitely generated commutative k-algebra A. We ask if the finite generation property of the ring of invariants A^G extends to the full rational…
From Mennicke symbols to Euler class groups
Wilberd van der Kallen
Bhatwadekar and Raja Sridharan have constructed a homomorphism of abelian groups from an orbit set Um(n,A)/E(n,A) of unimodular rows to an Euler class group. We suggest that this i…
Steinberg modules and Donkin pairs
Wilberd van der Kallen
We prove that in positive characteristic a module with good filtration for a group of type E6 restricts to a module with good filtration for a subgroup of type F4. (Recall that a f…
Complexity of the Havas, Majewski, Matthews LLL Hermite Normal Form algorithm
Wilberd van der Kallen
We show that the integers in the HMM LLL HNF algorithm have bit length O(m.log(m.B)), where m is the number of rows and B is the maximum square length of a row of the input matrix.…