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Symmetric, Skew(Anti) Symmetric Tensors, and Determinants

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A Primer in Tensor Analysis and Relativity

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

Symmetric and antisymmetric tensors play important roles in Mathematics and applications. Here, we consider some relevant aspects of these special tensors.

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Notes

  1. 1.

    Exactly as in the case of the scalar product of two vectors, it proves useful to introduce two different notations for the vector product of two vectors.

References

  1. L.D. Landau, E.M. Lifshits, Mechanics - Course of Theoretical Physics, vol. 1 (Butterworth-Heinemann, Oxford, 1976)

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  2. D.K. Faddeev, Lectures on Algebra (Nauka, Moscow, 1984)

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  3. A.Z. Petrov, Einstein Spaces (Pergamon Press, Oxford, 1969)

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Correspondence to Ilya L. Shapiro .

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Shapiro, I.L. (2019). Symmetric, Skew(Anti) Symmetric Tensors, and Determinants. In: A Primer in Tensor Analysis and Relativity. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-26895-4_3

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