Some finiteness results in the representation theory of isometry groups of regular trees

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dc.authoridDemir, Selcuk/0000-0002-3681-9400
dc.authorwosidDemir, Selcuk/AAC-3175-2022
dc.contributor.authorDemir, S
dc.date.accessioned2024-07-18T20:56:56Z
dc.date.available2024-07-18T20:56:56Z
dc.date.issued2004
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractLet G denote the isometry group of a regular tree of degree greater than or equal to3. The notion of congruence subgroup is introduced and finite generation of the congruence Hecke algebras is proven. Let U be congruence subgroup and M(G; U) be the category of smooth representations of G generated by their U-fixed vectors. We also show that this subcategory is closed under taking subquotients. All these results are analogues of well-known results in the case of p-adic groups. It is also shown that the category of admissible representation of G is Noetherian in the sense that every subrepresentation of a finitely generated admissible representation is again finitely generated. Since we want to emphesize the similarities between these groups and p-adic groups, we give the same proofs which also work in the p-adic case whenever possible.en_US
dc.identifier.doi10.1023/B:GEOM.0000024722.31926.97
dc.identifier.endpage207en_US
dc.identifier.issn0046-5755
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-3843114563en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage189en_US
dc.identifier.urihttps://doi.org/10.1023/B:GEOM.0000024722.31926.97
dc.identifier.urihttps://hdl.handle.net/11411/8907
dc.identifier.volume105en_US
dc.identifier.wosWOS:000220927900012en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherKluwer Academic Publen_US
dc.relation.ispartofGeometriae Dedicataen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCategory Of Smooth Representationsen_US
dc.subjectİsometry Groups Of Regular Treesen_US
dc.subjectNoetherian Categoriesen_US
dc.subjectUniform Admissibilityen_US
dc.titleSome finiteness results in the representation theory of isometry groups of regular trees
dc.typeArticle

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