Orthogonal maximal abelian *-subalgebras of the 6x6 matrices

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dc.creatorBeauchamp, Kyle
dc.creatorNicoara, Remus
dc.date2006-09-03
dc.date.accessioned2026-07-07T07:24:27Z
dc.date.available2026-07-07T07:24:27Z
dc.descriptionWe construct new pairs of orthogonal maximal abelian $*$-subalgebras of $M_6(\mathbb C)$, by classifying all self-adjoint complex Hadamard matrices of order 6. In particular, we exhibit a non-affine one-parameter family of non-equivalent Hadamard matrices of order 6. In the last part of the paper we present other previously unknown examples of complex Hadamard matrices of higher orders.
dc.identifierhttps://arxiv.org/abs/math/0609076
dc.identifierhttp://arxiv.org/abs/math/0609076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116359
dc.subjectOperator Algebras
dc.subjectCombinatorics
dc.subjectQuantum Physics
dc.titleOrthogonal maximal abelian *-subalgebras of the 6x6 matrices
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