Tatiana Gateva-Ivanova

most citedBinomial skew polynomial rings, Artin-Schelter regularity, and binomial solutions of the Yang-Baxter equation

9 citations · 12 across the 3 of their papers we have counts for

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math.QA2009

Garside structure on monoids with quadratic square-free relations

Tatiana Gateva-Ivanova

We show the intimate connection between various mathematical notions that are currently under active investigation: a class of Garside monoids, with a "nice" Garside element, certa…

math.QA2009★ 9 cited

Binomial skew polynomial rings, Artin-Schelter regularity, and binomial solutions of the Yang-Baxter equation

Tatiana Gateva-Ivanova

Let $k$ be a field and $X$ be a set of $n$ elements. We introduce and study a class of quadratic $k$ -algebras called \emph{quantum binomial algebras}. Our main result shows that su…

math.QA2009★ 3 cited

Multipermutation solutions of the Yang--Baxter equation

Tatiana Gateva-Ivanova, Peter Cameron

Set-theoretic solutions of the Yang--Baxter equation form a meeting-ground of mathematical physics, algebra and combinatorics. Such a solution consists of a set $X$ and a function…