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Published online by Cambridge University Press: 20 January 2009
In this section we extend the definition of an E-set, so that it includes sets of the type
where the only restriction on the Ei is that they be non-singular. We now consider matrices of the type
where each ei takes independently the values 0, 1, …, n − 1, while the a(ei) are either complex numbers or else matrices of order r, the product a(ei) E(ei), in the latter case, being interpreted as the direct product of the two matrices a(ei) and E(ei).
page 232 note 1 In this formula Ej is written for the matrix e Ej where e is the unit matrix of order r.
page 235 note 1 This problem was solved for n = 2 by Study, E., Göttinger Nachrichten (1912), 452–479.Google Scholar
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