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A Hecke algebra of level 4 and associated Whittaker functions

Year: 2025

Type: article

Abstract: 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 $4$.

Source: Proceedings of the Japan Academy Series A Mathematical Sciences

DOI: 10.3792/pjaa.101.004

Authors: Ehud Moshe Baruch, Soma Purkait

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Newform theory for the full space via local Shimura correspondence and Waldspurger-type theorem

OpenAlex ID: W4409239577

FWCI:

Cites: 3

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Related to: 10