The paper defines motivic representation stability via finite-group motivic decompositions, states four conjectures for representation varieties of surface, free, and abelian groups, and verifies them for several matrix groups.
Commuting probability and simultaneous conjugacy classes of commuting tuples in a group
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let $G$ be a finite group. This expository article explores the subject of commuting probability in the group $G$ and its relation with simultaneous conjugacy classes of commuting tuples in $G$. We also point out the relevance of this topic in context of topology where similar problems are studied when $G$ is a Lie group.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Motivic (Representation) Stability of Representation Varieties and Character Stacks
The paper defines motivic representation stability via finite-group motivic decompositions, states four conjectures for representation varieties of surface, free, and abelian groups, and verifies them for several matrix groups.