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Wigner-Eckart theorem and infinitesimal operators of group representations. (English) Zbl 0578.22025

From the author’s abstract: “A new notion of a tensor operator is introduced. The Wigner-Eckart theorem is valid for our tensor operators. The notion of irreducibility and the equivalence relation for tensor operators are formulated.”

MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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