Classification of real low-dimensional Jacobi (generalized)–Lie bialgebras
2016 ◽
Vol 14
(01)
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pp. 1750007
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We describe the definition of Jacobi (generalized)–Lie bialgebras [Formula: see text] in terms of structure constants of the Lie algebras [Formula: see text] and [Formula: see text] and components of their 1-cocycles [Formula: see text] and [Formula: see text] in the basis of the Lie algebras. Then, using adjoint representations and automorphism Lie groups of Lie algebras, we give a method for classification of real low-dimensional Jacobi–Lie bialgebras. In this way, we obtain and classify real two- and three-dimensional Jacobi–Lie bialgebras.
2005 ◽
Vol 38
(18)
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pp. 3981-3994
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Keyword(s):
2016 ◽
Vol 13
(07)
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pp. 1650087
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Keyword(s):
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1992 ◽
Vol 436
(1896)
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pp. 55-68
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2008 ◽
Vol 10
(02)
◽
pp. 221-260
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Keyword(s):
2005 ◽
Vol 07
(02)
◽
pp. 145-165
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Keyword(s):