3 papers
math.RT2026
Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1
In this article, we construct noncommutative cluster varieties, , for each reduced root system and marked surface simultaneously generalizing the cluster…
math.DG2026
Generalizing Lusztig's total positivity II : geometric properties
Olivier Guichard, Anna Wienhard
Positive structures in Lie groups with respect to a subset of the set of positive roots provide a generalization of Lusztig's total positivity in split real Lie groups to the s…
math.GR2025
Positivity and Non-commutativity
Anna Wienhard
In this article we revisit a new notion of positivity in real semisimple Lie groups that at the same time generalizes total positivity in split real Lie groups as well as positive…