Clifford Hopf gebra for two-dimensional space

Simple item page
dc.creatorFauser, Bertfried
dc.creatorOziewicz, Zbigniew
dc.date2000-11-30
dc.date.accessioned2026-07-07T04:38:56Z
dc.date.available2026-07-07T04:38:56Z
dc.descriptionA Clifford algebra Cl(V,η\in V^*\otimes V^*) jointly with a Clifford cogebra Cl(V,ξ\in V\otimes V) is said to be a Clifford biconvolution Cl(η,ξ). We show that a Clifford biconvolution for dim_R Cl=4 does possess an antipode iff det(id-ξ\circη)\neq 0. An antipodal Clifford biconvolution is said to be a Clifford Hopf gebra. We study the Clifford Hopf gebra and examples of antipode less Clifford bigebras including the Grassmann case.
dc.description14 pages, 8 eps-figure, submitted to `Miscellanea Algebraica' Kielce, Poland
dc.identifierhttps://arxiv.org/abs/math/0011263
dc.identifierhttp://arxiv.org/abs/math/0011263
dc.identifierMiscellanea Algebraicae Vol 5, No 2:31-42, 2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60477
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject15A66; 16W30
dc.titleClifford Hopf gebra for two-dimensional space
dc.typetext

Files

Collections

arXiv