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Posted by Mark on November 7, 2001 05:07:26 UTC

You're fluent with the language of GR, so perhaps you could please tell me this...

You know the difference between scalar and vector... and I'm sure you know that Rank-0 tensor = "scalar", Rank-1 tensor = "vector", Rank-2 tensor commonly refered to as just plain "tensor"... and so on...

My question is: if Rank-2 tensor is mathematicaly represented by n x n matrix (n being number of dimensions), then is a Rank-3 tensor represented by an n x n x n matrix??

Is there such a thing as a three dimensional (and higher dimensional) matrix? If so... How ODD!!

Are these 3D, (4D, 5D and so on...) matrices applied in abstract theoretical physics (string theory or supergravity)?

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