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Somebody more knowledgeable than me in wiki editing should add a sentence saying all representations are finite. Also the part with the involution T uses a basis when there is no need for it whatsoever: why?
I'm not sure what you mean by "finite" but we are not assuming representations are finite-dimensional in the article. As for the unnecessary use of a basis, you're right and I have modified the article accordingly. -- Taku (talk) 01:29, 22 April 2020 (UTC)[reply]