INVARIANTS UNDER DECOMPOSITION OF THE CONJUGATION IN THE MOD 2 DUAL LEIBNIZ-HOPF ALGEBRA

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dc.contributor.authorTurgay, Neset Deniz
dc.date.accessioned2026-02-06T18:26:44Z
dc.date.issued2018
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe Leibniz-Hopf algebra is the free associative algebra on one generator, S-n, in each positive degree, with coproduct Delta(S-n) = Sigma S-j circle times Sn-j. Let C and R denote coarsening and reversing operations on the mod 2 dual Leibniz-Hopf algebra. We consider decomposition of the Hopf algebra conjugation chi = C o R in this dual Hopf algebra and calculate bases for the fixed points of the operations C and R.
dc.identifier.doi10.18514/MMN.2018.2591
dc.identifier.endpage1222
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85111252464
dc.identifier.scopusqualityQ2
dc.identifier.startpage1217
dc.identifier.urihttps://doi.org/10.18514/MMN.2018.2591
dc.identifier.urihttps://hdl.handle.net/11129/10621
dc.identifier.volume19
dc.identifier.wosWOS:000458493700036
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectHopf algebra
dc.subjectLeibniz-Hopf algebra
dc.subjectantipode
dc.subjectSteenrod algebra
dc.subjectquasisymmetric functions
dc.titleINVARIANTS UNDER DECOMPOSITION OF THE CONJUGATION IN THE MOD 2 DUAL LEIBNIZ-HOPF ALGEBRA
dc.typeArticle

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