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• W2056289969 abstract "Irreducible representations (irreps) of a finite group $G$ are equivalent if there exists a similarity transformation between them. In this paper, we describe an explicit algorithm for constructing this transformation between a pair of equivalent irreps, assuming we are given an algorithm to compute the matrix elements of these irreps. Along the way, we derive a generalization of the classical orthogonality relations for matrix elements of irreps of finite groups. We give an explicit form of such unitary matrices for the important case of conjugated Young-Yamanouchi representations, when our group $G$ is symmetric group $S(N)$." @default.
• W2056289969 created "2016-06-24" @default.
• W2056289969 creator A5033198961 @default.
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• W2056289969 date "2014-11-25" @default.
• W2056289969 modified "2023-10-16" @default.
• W2056289969 title "Explicit constructions of unitary transformations between equivalent irreducible representations" @default.
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• W2056289969 doi "https://doi.org/10.1088/1751-8113/47/50/505203" @default.
• W2056289969 hasPublicationYear "2014" @default.
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