Abstract
Group orthogonality relations are presented in various coordinate-free, and possibly new, guises; it is not assumed that the ground field is algebraically closed. One of the more unlikely guises is used to give a basis-free proof of the “generalized Frobenius-Schur criterion” for the Wigner type of a corepresentation.
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References
R.Shaw, Linear algebra and group representations, Acad. Press 1982
R.Shaw, Multilinear algebra and group representations, Acad. Press 1982.
R.Shaw, J. Lever, Commun. Math. Phys. 38, 257–277, (1974).
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© 1983 Springer-Verlag
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Shaw, R. (1983). A new look at group orthogonality relations. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_10
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DOI: https://doi.org/10.1007/3-540-12291-5_10
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