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20072025
most citedClassification of pointed rank one Hopf algebras

22 citations · 75 across the 23 of their papers we have counts for

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15 papers · 1 filter

math.RT2022★ 1 cited

Calabi-Yau structures on (quasi-)bisymplectic algebras

Tristan Bozec, Damien Calaque, Sarah Scherotzke

We show that relative Calabi--Yau structures on noncommutative moment maps give rise to (quasi-)bisymplectic structures, as introduced by Crawley-Boevey-Etingof-Ginzburg (in the ad…

math.RT2021★ 6 cited

Calabi-Yau structures for multiplicative preprojective algebras

Tristan Bozec, Damien Calaque, Sarah Scherotzke

In this paper we deal with Calabi-Yau structures associated with (differential graded versions of) deformed multiplicative preprojective algebras, of which we provide concrete alge…

math.RT2020

Derived parabolic induction

Sarah Scherotzke, Peter Schneider

The classical parabolic induction functor is a fundamental tool on the representation theoretic side of the Langlands program. In this article, we study its derived version. It was…

math.RT2020★ 8 cited

Relative critical loci and quiver moduli

Tristan Bozec, Damien Calaque, Sarah Scherotzke

In this paper we identify the cotangent to the derived stack of representations of a quiver with the derived moduli stack of modules over the Ginzburg dg-algebra associated wit…

math.RT2015★ 6 cited

Quiver varieties and Hall algebras

Sarah Scherotzke, Nicolo Sibilla

In this paper we give a geometric construction of the quantum group Ut(G) using Nakajima categories, which were developed in [29]. Our methods allow us to establish a direct connec…

math.RT2015

Component cluster for acyclic quiver

Sarah Scherotzke

The theory of Caldero-Chapoton algebras of Cerulli-Irelli, Labardini-Fragoso and Schroer leads to a refinement of the notions of cluster variables and clusters, via so called compo…