Classification theorem on irreducible representations of theq-deformed algebraU′q(son)
2005 ◽
Vol 2005
(2)
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pp. 225-262
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Keyword(s):
The aim of this paper is to give a complete classification of irreducible finite-dimensional representations of the nonstandardq-deformationU′q(son)(which does not coincide with the Drinfel'd-Jimbo quantum algebraUq(son)) of the universal enveloping algebraU(son(ℂ))of the Lie algebrason(ℂ)whenqis not a root of unity. These representations are exhausted by irreducible representations of the classical type and of the nonclassical type. The theorem on complete reducibility of finite-dimensional representations ofU′q(son)is proved.
1992 ◽
Vol 06
(11n12)
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pp. 1873-1880
Keyword(s):
2009 ◽
Vol 20
(03)
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pp. 339-368
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2016 ◽
Vol 2016
(720)
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Keyword(s):
1968 ◽
Vol 20
◽
pp. 344-361
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1981 ◽
Vol 24
(2)
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pp. 83-85
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1965 ◽
Vol 25
◽
pp. 211-220
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2013 ◽
Vol 55
(A)
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pp. 195-215
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2018 ◽
Vol 61
(1)
◽
pp. 16-39
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Keyword(s):
2010 ◽
Vol 17
(spec01)
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pp. 749-788
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