Group-Like algebras and Hadamard matrices

dc.creatorHaim, Mariana
dc.date2006-02-10
dc.date.accessioned2026-07-07T07:03:18Z
dc.date.available2026-07-07T07:03:18Z
dc.descriptionWe give a description in terms of square matrices of the family of group-like algebras with $S*id=id*S=uε$. In the case that $S=id$ and $char\Bbbk$ is not 2 and does not divide the dimension of the algebra, this translation take us to Hadamard matrices and, particularly, to examples of biFrobenius algebras satisfying $S*id=id*S=uε$ and that are not Hopf algebras. Finally, we generalize some known results on separability and coseparability valid for finite dimensional Hopf algebras to this special class of biFrobenius algebras with $S*id=id*S=uε$, presenting a version of Maschke's theorem for this family.
dc.identifierhttps://arxiv.org/abs/math/0602224
dc.identifierhttp://arxiv.org/abs/math/0602224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108921
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleGroup-Like algebras and Hadamard matrices
dc.typetext

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