Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899213 | Reports on Mathematical Physics | 2015 | 7 Pages |
Abstract
The Jordan-Schwinger realization of quantum algebra
Uâ£q(su2) is used to construct the irreducible submodule Tl of the adjoint representation in two different bases. The two bases are known as types of irreducible tensor operators of rank l which are related to each other by the involution map. The bases of the submodules are equipped with q-analogues of the Hilbert-Schmidt inner product and it is also shown that the adjoint representation corresponding to one of those submodules is a *-representation.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Hossein Fakhri, Mojtaba Nouraddini,