Let $D$ be a connected component of a possibly disconnected reductive group $G$ over an algebraic closed field. We define a partition of $D$ into finitely many Strata each of which is a union of $G^0$-conjugacy classes of fixed dimension. In the case where $D=G^0$ this recovers a known partition.
Restriction of a character sheaf to conjugacy classes
Conjugacy classes in discrete Heisenberg groups
Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument
![QR code for arXiv:2006.07336 [math.RT]](http://oss.arxitics.com/images/favicon.svg)