A Hecke algebra of level 4 and associated Whittaker functions
In [3], we gave a presentation of the ${\rm PGL}_2$ Hecke algebra of level $4$. We now use this presentation to describe the finite dimensional representations of the Hecke algebra and compute the Whittaker function for newforms of level $4$.
Authors
- Soma Purkait
- Ehud Moshe Baruch
Publication Details
- Journal
- Proceedings of the Japan Academy Series A Mathematical Sciences
- Published
- 2025-04-07
- DOI
- https://doi.org/10.3792/pjaa.101.004
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00