WIGNER–ECKART THEOREM FOR TENSOR OPERATORS OF HOPF ALGEBRAS
2005 ◽
Vol 02
(03)
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pp. 393-408
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Keyword(s):
We prove Wigner–Eckart theorem for the irreducible tensor operators for arbitrary Hopf algebras, provided that tensor product of their irreducible representations is completely reducible. The proof is based on the properties of the irreducible representations of Hopf algebras, in particular on Schur lemma. Two classes of tensor operators for the Hopf algebra Ut(su(2)) are considered. The reduced matrix elements for the class of irreducible tensor operators are calculated. A construction of some elements of the center of Ut(su(2)) is given.
1959 ◽
Vol 250
(1263)
◽
pp. 562-574
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2001 ◽
Vol 44
(1)
◽
pp. 19-26
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Keyword(s):
Keyword(s):
2004 ◽
Vol 03
(01)
◽
pp. 91-104
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Keyword(s):
Keyword(s):
1991 ◽
Vol 01
(02)
◽
pp. 207-221
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