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arxiv: 1010.2249 · v1 · pith:2DH3CBTFnew · submitted 2010-10-11 · 🧮 math-ph · math.MP

Clebsch--Gordan Coefficients of the Quaternion Group

classification 🧮 math-ph math.MP
keywords groupquaternionclebsch--gordancoefficientsirreduciblerepresentationscomputedeigenvectors
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The Clebsch--Gordan coefficients of the Kronecker products of the irreducible representations of the Quaternion Group Q8, of the Generalized Quaternion Groups Q16 and Q32, and of the factor group (Q32 X Q32)/{(1,1),(-1,-1)} are computed as eigenvectors of a well-known matrix of triple-products of the irreducible representations.

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