Simon W. Rigby

activity

20172021

most citedTensor products of Steinberg algebras

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.RA2021

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…

math.RA2021

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 $G$ , and certain families of ideals in the group algebras of isotropy grou…

math.RA2021

The Allison-Faulkner construction of $E_{8}$

Victor Petrov, Simon W. Rigby

We show that the Tits index $E_{8}^{133}$ cannot be obtained by means of the Tits construction over a field with no odd degree extensions. We construct two cohomological invariants,…

Galois cohomology of algebraic groups acting on the tensor product of two composition algebras

A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings

The Allison-Faulkner construction of E8​

The Allison-Faulkner construction of $E_{8}$