6 citations · 11 across the 8 of their papers we have counts for
10 papers
Double Steinberg coinvariants for special linear groups
Tatiana Abdelnaim, David Chan, Alexander Kupers +2
For a field we study the coinvariants for the -action on the double Steinberg module and show they have a rich algebraic structure: for $n =…
Scissors automorphism groups II: Solomon-Tits theorems
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
The Solomon-Tits theorem says that the poset of proper non-trivial subspaces of a finite-dimensional vector space has realisation equivalent to a wedge of spheres. In this paper we…
Even Temperley-Lieb algebras and the dga of planar loops
Rachael Boyd, Guy Boyde, Oscar Randal-Williams +1
We show that the homology of a Temperley-Lieb algebra on an even number of strands has a rich algebraic structure and is highly nontrivial in general. This is achieved by proving t…
Scissors automorphism groups I: Homological stability and K-theory
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent…
Partial bases and homological stability of revisited
Calista Bernard, Jeremy Miller, Robin J. Sroka
Let be a unital ring satisfying the invariant basis number property, that every stably free -module is free, and that the complex of partial bases of every finite rank free…
Simplicial bounded cohomology and stability
Thorben Kastenholz, Robin J. Sroka
We introduce a set of combinatorial techniques for studying the simplicial bounded cohomology of semi-simplicial sets, simplicial complexes and posets. We apply these methods to pr…
A presentation of symplectic Steinberg modules and cohomology of
Benjamin Brück, Peter Patzt, Robin J. Sroka
Borel-Serre proved that the integral symplectic group is a virtual duality group of dimension and that the symplectic Steinberg module $\…
Apartment classes of integral symplectic groups
Benjamin Brück, Robin J. Sroka
In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of is a cyclic $\operatorname{Sp_…
On the top-dimensional cohomology of arithmetic Chevalley groups
Benjamin Brück, Yuri Santos Rego, Robin J. Sroka
Let be a number field with ring of integers and let be a Chevalley group scheme not of type , or $\mathtt{G}_…
On the codimension-two cohomology of
Benjamin Brück, Jeremy Miller, Peter Patzt +2
Borel-Serre proved that is a virtual duality group of dimension and the Steinberg module is its dualizing modu…