This study aims to explore the generic sigma-conjugacy classes related to the Iwahori-Bruhat decomposition and classify cordial elements.
Described generic sigma-conjugacy classes linked to the Iwahori-Bruhat decomposition of reductive groups.
Classified cordial elements as defined by Milićević-Viehmann.
Presented a classification of cordial elements under the framework of Iwahori-Bruhat decomposition.
Identified structural relationships between sigma-conjugacy classes and the behavior of cordial elements.
Abstract
We describe the generic σ-conjugacy classes associated with the Iwahori-Bruhat decomposition of a reductive group. As an application, we classify cordial elements as introduced by Milićević-Viehmann.