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Matrices, Irreps and the Great Orthogonality Theorem

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Primer for Point and Space Groups

Part of the book series: Undergraduate Texts in Contemporary Physics ((UTCP))

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Abstract

The character of a matrix (the “trace” in physics), which carries the symbol χ, is equal to the sum of the diagonals of the matrix. For the matrix A ij we write

$$\chi = \sum\limits_j {{A_{jj}}}$$
((3.1))

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© 2004 Springer-Verlag New York, Inc.

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Liboff, R.L. (2004). Matrices, Irreps and the Great Orthogonality Theorem. In: Primer for Point and Space Groups. Undergraduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9383-2_3

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  • DOI: https://doi.org/10.1007/978-1-4684-9383-2_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2317-2

  • Online ISBN: 978-1-4684-9383-2

  • eBook Packages: Springer Book Archive

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