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\(SO(2n+1)\) in an \(SO(2n-3)\times SU(2)\times SU(2)\) basis. I: Reduction of the symmetric representations. (English) Zbl 0498.22021


MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
22E46 Semisimple Lie groups and their representations
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
22C05 Compact groups
22D10 Unitary representations of locally compact groups
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