components of antisymmetric tensor unchanged under rotations proof











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In "classical theory of fields" Landau states that the components of a completely antisymmetric tensor of a rank equal to the number of dimensions of the space remain unchanged after a rotation. I have not been able to prove it or find a proof. Is there an elegant way to show this?






tensors rotations special-relativity







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    down vote

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    In "classical theory of fields" Landau states that the components of a completely antisymmetric tensor of a rank equal to the number of dimensions of the space remain unchanged after a rotation. I have not been able to prove it or find a proof. Is there an elegant way to show this?






    tensors rotations special-relativity







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      In "classical theory of fields" Landau states that the components of a completely antisymmetric tensor of a rank equal to the number of dimensions of the space remain unchanged after a rotation. I have not been able to prove it or find a proof. Is there an elegant way to show this?






      tensors rotations special-relativity







      share|cite|improve this question













      In "classical theory of fields" Landau states that the components of a completely antisymmetric tensor of a rank equal to the number of dimensions of the space remain unchanged after a rotation. I have not been able to prove it or find a proof. Is there an elegant way to show this?






      tensors rotations special-relativity




      tensors rotations special-relativity






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 16 at 21:49









      wonszrzeczny

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