Clebsch--Gordan Coefficients of the Quaternion Group

Details Clebsch--Gordan Coefficients of the Quaternion Group Clebsch--Gordan Coefficients of the Quaternion Group

2010-10-11

arxiv.org/abs/1010.2249v1

Physics

Mathematical Physics

13 pages. 28 tables with characters, Cayley tables and CG coefficients, 4 figures with Cayley graphs

Scientific paper

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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