dc.contributor.author
Heusener, M.
dc.contributor.author
Porti, J.
dc.date.accessioned
2023-11-14T10:35:34Z
dc.date.accessioned
2024-09-19T14:34:55Z
dc.date.available
2023-11-14T10:35:34Z
dc.date.available
2024-09-19T14:34:55Z
dc.date.issued
2023-05-09
dc.identifier.uri
http://hdl.handle.net/2072/537050
dc.description.abstract
The aim of this article is to study the SL2(C)–character scheme of a finitely generated group. Given a presentation of a finitely generated group Γ, we give equations defining the coordinate ring of the scheme of SL2(C)–characters of Γ (finitely many equations when Γ is finitely presented). We also study the scheme of abelian and non-simple representations and characters. Finally we apply our results to study the SL2(C)–character scheme of the Borromean rings. ©2023 American Mathematical Society.
eng
dc.description.sponsorship
Funding text 1: Received by the editors October 25, 2022, and, in revised form, January 16, 2023. 2020 Mathematics Subject Classification. Primary 57K31; Secondary 20C99, 57M50. Key words and phrases. Representation variety, character variety. Both authors were partially supported by FEDER-AEI (grant number PID2021-125625NB-100 and María de Maeztu Program CEX2020-001084-M) and by the Laboratoire de Mathématiques Blaise Pascal of the UniversitéClermont Auvergne.; Funding text 2: Both authors were partially supported by FEDER-AEI (grant number PID2021-125625NB-100 and María de Maeztu Program CEX2020-001084-M) and by the Laboratoire de Mathématiques Blaise Pascal of the Université Clermont Auvergne.
dc.format.extent
29 p.
cat
dc.publisher
American Mathematical Society
cat
dc.relation.ispartof
Transactions of the American Mathematical Society
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Representation variety, character variety
cat
dc.title
THE SCHEME OF CHARACTERS IN SL2
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1090/tran/8910
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
