Notes on quaternionic group representations |
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Authors: | G. Scolarici L. Solombrino |
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Affiliation: | (1) Dipartimento di Fisica dell'Universita', 73100 Lecce, Italy;(2) Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Lecce, Italy |
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Abstract: | We study quaternionic group representations of finite groups systematically and obtain some basic tools of the theory, such as orthogonality relations and the Clebsch-Gordan series for reducible representations. We also derive all irreducible inequivalentQ-representations of a groupG, classifying them according to a suitable generalization of the Wigner-Frobenius-Schur classification. |
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