2 papers
math.RT2026
Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
Prashant Arote, Manish Mishra
We construct a pinned canonical Jordan decomposition of characters for finite reductive groups in cases where the relevant dual centralizers may be disconnected. For a connected re…
math.RT2026
Harish-Chandra Induction and Jordan Decomposition of Characters
Prashant Arote, Manish Mishra
We show that for any finite connected reductive group, a Jordan decomposition can always be chosen such that it commutes with Harish-Chandra induction. En route, we show that the e…