Some remarks on spin-orbits of unit vectors

dc.contributor.authorSyed, Tariq
dc.date.accessioned2025-07-29T12:39:20Z
dc.date.available2025-07-29T12:39:20Z
dc.date.issued2024
dc.description.abstractFor n ∈ N and a commutative ring R with 2 ∈ R×, the group SLn(R) acts on the set U mn(R) of unimodular vectors of length n and Spin2n(R) acts on the set of unit vectors U2n−1(R). We give an example of a ring for which the comparison map U mn(R)/SLn(R) → U2n−1(R)/Spin2n(R) fails to be bijective.en
dc.identifier.doihttps://doi.org/10.25358/openscience-12960
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/12981
dc.language.isoeng
dc.rightsCC-BY-4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510 Mathematikde
dc.subject.ddc510 Mathematicsen
dc.titleSome remarks on spin-orbits of unit vectorsen
dc.typeZeitschriftenaufsatz
jgu.journal.issue1
jgu.journal.titleJournal of pure and applied algebra
jgu.journal.volume229
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatik
jgu.organisation.nameJohannes Gutenberg-Universität Mainz
jgu.organisation.number7940
jgu.organisation.placeMainz
jgu.organisation.rorhttps://ror.org/023b0x485
jgu.pages.alternative107802
jgu.publisher.doi10.1016/j.jpaa.2024.107802
jgu.publisher.eissn1873-1376
jgu.publisher.nameElsevier
jgu.publisher.placeAmsterdam
jgu.publisher.year2024
jgu.rights.accessrightsopenAccess
jgu.subject.ddccode510
jgu.subject.dfgNaturwissenschaften
jgu.type.dinitypeArticleen_GB
jgu.type.resourceText
jgu.type.versionPublished version

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