I would like to know where, if possible, I could find some information on the (matrix) algebra(adsbygoogle = window.adsbygoogle || []).push({});

[itex] M^{-1}_{i} M_{j} + M^{-1}_{j} M_{i} = 2\delta_{ij} I[/itex].

I expect this algebra to be among the very many different algebras that mathematicians have studied, but I have been unable to Google my way to any relevant reference regarding it.

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# Name of algebra

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