Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable
1994 ◽
Vol 37
(1)
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pp. 21-28
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Keyword(s):
AbstractWe consider simple complex Lie algebras extended over the commutative ring C[z,(z — a1)-1, . . . ,(z — an)-1] where a1, . . . ,an ∊ C. We compute the universal central extensions of these Lie algebras and present explicit commutation relations for these extensions. These algebras generalize the untwisted affine Kac-Moody Lie algebras, which correspond to the case n = 1, a1 = 0.
2018 ◽
Vol 17
(07)
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pp. 1850134
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1985 ◽
Vol 61
(6)
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pp. 179-181
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Keyword(s):
2014 ◽
Vol 16
(03)
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pp. 1350047
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2009 ◽
Vol 322
(5)
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pp. 1819-1829
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2017 ◽
Vol 19
(03)
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pp. 1650032
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2015 ◽
Vol 2
(1017)
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2012 ◽
Vol 2013
(682)
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pp. 129-139
Keyword(s):
1994 ◽
Vol 35
(12)
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pp. 6685-6692
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