Quasi-orthogonal subalgebras of matrix algebras

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dc.creatorOhno, Hiromichi
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:28Z
dc.date.available2026-07-07T08:53:28Z
dc.descriptionWe investigate pairwise quasi-orthogonal subalgebras in $M_{p^{kn}}$ which are isomorphic to $M_{p^{k}}$ for $k \ge 1$, $n \ge 2$ and a prime number $p$ with $p \ge 3$. We prove there exist $p^{2kn}-1/p^{2k}-1$ such subalgebras and they span $M_{p^{kn}}$.
dc.description12pages
dc.identifierhttps://arxiv.org/abs/0801.1353
dc.identifierhttp://arxiv.org/abs/0801.1353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145633
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject15A30; 81R05
dc.titleQuasi-orthogonal subalgebras of matrix algebras
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