2 citations · 2 across the 4 of their papers we have counts for
6 papers
Galois cohomology of algebraic groups acting on the tensor product of two composition algebras
Simon W. Rigby
This is a study of algebras with involution that become isomorphic over a separable closure of the base field to a tensor product of two composition algebras. We classify these alg…
A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings
Simon W. Rigby, Thibaud van den Hove
We give a one-to-one correspondence between ideals in the Steinberg algebra of a Hausdorff ample groupoid , and certain families of ideals in the group algebras of isotropy grou…
The Allison-Faulkner construction of
Victor Petrov, Simon W. Rigby
We show that the Tits index cannot be obtained by means of the Tits construction over a field with no odd degree extensions. We construct two cohomological invariants,…
Tensor products of Steinberg algebras
Simon W. Rigby
We prove that , if and are Hausdorff ample groupoids. As part of the proof, we give a new universal property of Steinberg alg…
The groupoid approach to Leavitt path algebras
Simon W. Rigby
When the theory of Leavitt path algebras was already quite advanced, it was discovered that some of the more difficult questions were susceptible to a new approach using topologica…
Strongly graded groupoids and strongly graded Steinberg algebras
Lisa Orloff Clark, Roozbeh Hazrat, Simon W. Rigby
We study strongly graded groupoids, which are topological groupoids equipped with a continuous, surjective functor , to a discrete group , such…