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math.AG2019
On the non-neutral component of outer forms of the orthogonal group
Uriya A. First
Let be a central simple algebra with an orthogonal involution. It is well-known that contains elements of reduced norm if and only if the Brauer class of …
math.AG2018
Orders that are Étale-Locally Isomorphic
Eva Bayer-Fluckiger, Uriya A. First, Mathieu Huruguen
Let be a semilocal Dedekind domain with fraction field . We show that two hereditary -orders in central simple -algebras which become isomorphic after tensoring with $…