Uriya A. First

activity

20162026

most citedOn the number of generators of a separable algebra over a finite field

1 citations · 1 across the 5 of their papers we have counts for

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Showing 2024Show all

4 papers · 1 filter

math.RA2024

Spaces of Generators for Azumaya Algebras with Unitary Involution

Omer Cantor, Uriya A. First

Let $A$ be a finite dimensional algebra (possibly with some extra structure) over an infinite field $K$ and let $r \in N$ . The $r$ -tuples $(a_{1}, \dots, a_{r}) \in A^{r}$ which fail…

math.RA2024

Counterexamples in Involutions of Azumaya Algebras

Uriya First, Ben Williams

Suppose $A$ is an Azumaya algebra over a ring $R$ and $σ$ is an involution of $A$ extending an order- $2$ automorphism $λ : R \to R$ . We say $σ$ is extraordinary if there does not exis…

math.CO2024

Cosystolic Expansion of Sheaves on Posets with Applications to Good 2-Query Locally Testable Codes and Lifted Codes

Uriya A. First, Tali Kaufman

We study sheaves on posets, showing that cosystolic expansion of such sheaves can be derived from local expansion conditions of the sheaf and the poset (typically a high dimensiona…

math.AG2024

Algebraic Groups with Torsors That Are Versal for All Affine Varieties

Uriya A. First, Mathieu Florence, Zev Rosengarten

Let $k$ be a field and let $G$ be an affine algebraic group over $k$ . Call a $G$ -torsor weakly versal for a class of $k$ -schemes $C$ if it specializes to every $G$ -torsor over…