The Construction of Regular Supercuspidal Representations
Jeffrey Hakim
TL;DR
This paper refines and simplifies the construction of regular supercuspidal representations, connecting Kaletha's work with Yu's approach for more direct and application-friendly methods.
Contribution
It introduces a streamlined construction of regular supercuspidal representations, enhancing applicability and linking existing frameworks.
Findings
Simplified construction method for regular supercuspidal representations
Connection established between Kaletha's and Yu's constructions
More direct approach facilitates applications in representation theory
Abstract
This paper simplifies and further develops various aspects of Tasho Kaletha's construction of regular supercuspidal representations. Moreover, Kaletha's construction is connected with the author's revision of Yu's construction of tame supercuspidal representations. This allows for a more direct construction of regular supercuspidal representations that is more amenable to applications.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Geometric and Algebraic Topology