Publication
Complex Boosts: A Hermitian Clifford Algebra Approach
| dc.contributor.author | Ferreira, Milton | |
| dc.contributor.author | Sommen, Franciscus | |
| dc.date.accessioned | 2019-02-06T17:36:56Z | |
| dc.date.available | 2019-02-06T17:36:56Z | |
| dc.date.issued | 2013-06 | |
| dc.description.abstract | The aim of this paper is to study complex boosts in complex Minkowski space-time that preserves the Hermitian norm. Starting from the spin group Spin$^+(2n,2m,\bkR)$ in the real Minkowski space $\bkR^{2n,2m}$ we construct a Clifford realization of the pseudo-unitary group U$(n,m)$ using the space-time Witt basis in the framework of Hermitian Clifford algebra. Restricting to the case of one complex time direction we derive a general formula for a complex boost in an arbitrary complex direction and its $KAK-$decomposition, generalizing the well-known formula of a real boost in an arbitrary real direction. In the end we derive the complex Einstein velocity addition law for complex relativistic velocities, by the projective model of hyperbolic $n-$space. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Ferreira, M., and Sommen, F., Complex boosts: a Hermitian Clifford algebra approach, Adv. Appl. Clifford Algebras, 23(2), 2013, 339-362 | pt_PT |
| dc.identifier.doi | 10.1007/s00006-012-0377-x | pt_PT |
| dc.identifier.issn | 0188-7009 | |
| dc.identifier.other | 1661-4909 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/3806 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer Nature [academic journals on nature.com] | pt_PT |
| dc.relation | Strategic Project - UI 4106 - 2011-2012 | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs00006-012-0377-x | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Pseudo-unitary group | pt_PT |
| dc.subject | Complex boosts | pt_PT |
| dc.subject | Hermitian Clifford algebra | pt_PT |
| dc.subject | Complex Einstein velocity addition | pt_PT |
| dc.title | Complex Boosts: A Hermitian Clifford Algebra Approach | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Strategic Project - UI 4106 - 2011-2012 | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6820 - DCRRNI ID/PEst-C%2FMAT%2FUI4106%2F2011/PT | |
| oaire.citation.endPage | 362 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 339 | pt_PT |
| oaire.citation.title | Advances in Applied Clifford Algebras | pt_PT |
| oaire.citation.volume | 23 | pt_PT |
| oaire.fundingStream | 6820 - DCRRNI ID | |
| person.familyName | Ferreira | |
| person.givenName | Milton | |
| person.identifier.ciencia-id | CA19-2009-F26D | |
| person.identifier.orcid | 0000-0003-1816-8293 | |
| person.identifier.rid | A-2004-2015 | |
| person.identifier.scopus-author-id | 12144179800 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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