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Oct 6, 2019 at 10:24 comment added Geoff Robinson @GerhardPaseman : Well, a scalar multiple of a unitary matrix....
Oct 5, 2019 at 21:07 history edited Geoff Robinson CC BY-SA 4.0
typo, and explanation of span of eigenspaces.
Oct 5, 2019 at 20:31 comment added Geoff Robinson @GerhardPaseman : Usually, the character table of a finite Abelian group is just a unitary matrix. In this case, we have the unusual fact that it is also symmetric, which makes it a matrix of multiplicative order $2$. This gives some special properties, which would not apply for the orders you mention.
Oct 5, 2019 at 20:23 comment added Gerhard Paseman Interesting. Do any of these remarks apply or extend to other orders? In particular, what can be said for orders 12,20, and 24? Gerhard "Hadamard Minds Want To Know" Paseman, 2019.10.05.
Oct 5, 2019 at 19:54 history answered Geoff Robinson CC BY-SA 4.0