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I am familiar with the direct sum of sets, $\oplus$.

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In what context? In some contexts, it means tensor product. –  lhf Apr 7 '11 at 11:59
More generally, this list can be useful: en.wikipedia.org/wiki/List_of_mathematical_symbols –  joriki Apr 7 '11 at 12:15
The direct sum of sets?!? –  Rasmus Apr 7 '11 at 14:49
The $\otimes$ symbol usually means 'some multiplicative binary operation', which may differ depending on context. –  AJMansfield Dec 1 '13 at 19:42
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up vote 8 down vote accepted

The $\otimes$ symbol is used for the tensor product.

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