<div class="csl-bib-body">
<div class="csl-entry">Havlicek, H. (2021). Projective metric geometry and Clifford algebras. <i>Results in Mathematics</i>, <i>76</i>(4), 1–22. https://doi.org/10.1007/s00025-021-01516-0</div>
</div>
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dc.identifier.issn
1422-6383
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/138086
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dc.description.abstract
Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains a distinguished group, known as the Lipschitz group. We show that only a quotient of this group remains meaningful in the context of projective metric geometry. This quotient of the Lipschitz group can be viewed as a point set in the projective space on the Clifford algebra and, under certain restrictions, leads to an algebraic description of so-called kinematic mappings.
en
dc.language.iso
en
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dc.publisher
SPRINGER BASEL AG
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dc.relation.ispartof
Results in Mathematics
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Applied Mathematics
en
dc.subject
Mathematics (miscellaneous)
en
dc.title
Projective metric geometry and Clifford algebras
en
dc.type
Artikel
de
dc.type
Article
en
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.description.startpage
1
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dc.description.endpage
22
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dcterms.dateSubmitted
2021-03-18
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dc.type.category
Original Research Article
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tuw.container.volume
76
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tuw.container.issue
4
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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tuw.researchTopic.id
X1
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tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
-
tuw.researchTopic.value
100
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dcterms.isPartOf.title
Results in Mathematics
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tuw.publication.orgunit
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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tuw.publisher.doi
10.1007/s00025-021-01516-0
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dc.date.onlinefirst
2021-10-13
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dc.identifier.articleid
219
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dc.identifier.eissn
1420-9012
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dc.identifier.libraryid
AC17202132
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dc.description.numberOfPages
22
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tuw.author.orcid
0000-0001-6847-1544
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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item.grantfulltext
open
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http://purl.org/coar/resource_type/c_2df8fbb1
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application/pdf
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research article
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item.openaccessfulltext
Open Access
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item.languageiso639-1
en
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item.cerifentitytype
Publications
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item.fulltext
with Fulltext
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
