A Hecke algebra of level 4 and associated Whittaker functions

Ehud Moshe Baruch; Soma Purkait

doi:10.3792/pjaa.101.004

A Hecke algebra of level 4 and associated Whittaker functions

Ehud Moshe Baruch, Soma Purkait

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In [3], we gave a presentation of the PGL₂ 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.

Original language	English
Pages (from-to)	19-23
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	101
Issue number	4
DOIs	https://doi.org/10.3792/pjaa.101.004
State	Published - 2025

Keywords

Hecke algebras
Newforms
Whittaker functions

All Science Journal Classification (ASJC) codes

General Mathematics

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10.3792/pjaa.101.004

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title = "A Hecke algebra of level 4 and associated Whittaker functions",

abstract = "In [3], we gave a presentation of the PGL2 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.",

keywords = "Hecke algebras, Newforms, Whittaker functions",

author = "Baruch, {Ehud Moshe} and Soma Purkait",

note = "Publisher Copyright: {\textcopyright} 2025 The Japan Academy",

year = "2025",

doi = "10.3792/pjaa.101.004",

language = "الإنجليزيّة",

volume = "101",

pages = "19--23",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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publisher = "Japan Academy",

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T1 - A Hecke algebra of level 4 and associated Whittaker functions

AU - Baruch, Ehud Moshe

AU - Purkait, Soma

PY - 2025

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AB - In [3], we gave a presentation of the PGL2 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.

KW - Hecke algebras

KW - Newforms

KW - Whittaker functions

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U2 - 10.3792/pjaa.101.004

DO - 10.3792/pjaa.101.004

M3 - مقالة

SN - 0386-2194

VL - 101

SP - 19

EP - 23

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 4

ER -

A Hecke algebra of level 4 and associated Whittaker functions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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