Quasi-orthogonal subalgebras of matrix algebras

Hiromichi Ohno

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arXiv · 0801.1353

Quasi-orthogonal subalgebras of matrix algebras

Hiromichi Ohno

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Abstract

We 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 $M_{p^{kn}}$.

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Hiromichi Ohno. 2008-01-09. Quasi-orthogonal subalgebras of matrix algebras. https://arxiv.org/abs/0801.1353

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