Two dimensional integral representations via branches of the Bruhat-Tits tree.
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| Title: | Two dimensional integral representations via branches of the Bruhat-Tits tree. |
|---|---|
| Authors: | Aguiló-Vidal, Bruno1 (AUTHOR) bruno.aguilo@udp.cl, Arenas-Carmona, Luis1,2 (AUTHOR) learenas@u.uchile.cl, Saavedra-Lagos, Matías2 (AUTHOR) matias.saavedra.l@ug.uchile.cl |
| Source: | Journal of Number Theory. Jul2026, Vol. 284, p62-103. 42p. |
| Subjects: | Integral representations, Rings of integers, Group theory, Algebraic number theory, Representation theory, Mathematical formulas, Finite groups |
| Abstract: | We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191664241 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Two dimensional integral representations via branches of the Bruhat-Tits tree. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Aguiló-Vidal%2C+Bruno%22">Aguiló-Vidal, Bruno</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> bruno.aguilo@udp.cl</i><br /><searchLink fieldCode="AR" term="%22Arenas-Carmona%2C+Luis%22">Arenas-Carmona, Luis</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> learenas@u.uchile.cl</i><br /><searchLink fieldCode="AR" term="%22Saavedra-Lagos%2C+Matías%22">Saavedra-Lagos, Matías</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> matias.saavedra.l@ug.uchile.cl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Jul2026, Vol. 284, p62-103. 42p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Integral+representations%22">Integral representations</searchLink><br /><searchLink fieldCode="DE" term="%22Rings+of+integers%22">Rings of integers</searchLink><br /><searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+number+theory%22">Algebraic number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Representation+theory%22">Representation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jnt.2025.12.005 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 42 StartPage: 62 Subjects: – SubjectFull: Integral representations Type: general – SubjectFull: Rings of integers Type: general – SubjectFull: Group theory Type: general – SubjectFull: Algebraic number theory Type: general – SubjectFull: Representation theory Type: general – SubjectFull: Mathematical formulas Type: general – SubjectFull: Finite groups Type: general Titles: – TitleFull: Two dimensional integral representations via branches of the Bruhat-Tits tree. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Aguiló-Vidal, Bruno – PersonEntity: Name: NameFull: Arenas-Carmona, Luis – PersonEntity: Name: NameFull: Saavedra-Lagos, Matías IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0022314X Numbering: – Type: volume Value: 284 Titles: – TitleFull: Journal of Number Theory Type: main |
| ResultId | 1 |
