C. Ure

activity

20152026

most citedTwisting Manin's universal quantum groups and comodule algebras

1 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.RA2021

A cogroupoid associated to preregular forms

Hongdi Huang, Van C. Nguyen, Charlotte Ure +3

We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Ra…

math.RA2021★ 1 cited

Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation

Hongdi Huang, Van C. Nguyen, Charlotte Ure +3

Let $H$ be a Hopf algebra that is $Z$ -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of $H$ to be a Zhang twist of $H$ . In particular, we intr…

math.NT2021

Symbol Length in Brauer Groups of Elliptic Curves

Mateo Attanasio, Caroline Choi, Andrei Mandelshtam +1

Let $ℓ$ be an odd prime, and let $K$ be a field of characteristic not $2, 3,$ or $ℓ$ containing a primitive $ℓ$ -th root of unity. For an elliptic curve $E$ over $K$ , we con…

math.AG2021

A moduli interpretation of untwisted binary cubic forms

Rajesh S. Kulkarni, Charlotte Ure

We give a moduli interpretation to the quotient of (nondegenerate) binary cubic forms with respect to the natural $GL_{2}$ -action on the variables. In particular, we show that…