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Defining matrix multiplication via contractions and tensor products

Let $v \in V$, $\varphi \in V^\ast$. Then $v \otimes \varphi \in V \otimes V^\ast$ represents the endomorphism, $$L_{v \otimes \varphi}(w) = \varphi(w)v, \forall w \in V$$ Thus, $$(L_{v \otimes \...
David Gao's user avatar
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3 votes
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Sheafification with values in general categories through fiber products?

First, let me state my scepticism regarding this generalisation/definition of "sheaf". It is possible to eliminate the hypothesis on the existence of products by using more complicated ...
Zhen Lin's user avatar
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