COASSOCIATIVE LIE ALGEBRAS
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 195-215

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A coassociative Lie algebra is a Lie algebra equipped with a coassociative coalgebra structure satisfying a compatibility condition. The enveloping algebra of a coassociative Lie algebra can be viewed as a coalgebraic deformation of the usual universal enveloping algebra of a Lie algebra. This new enveloping algebra provides interesting examples of non-commutative and non-cocommutative Hopf algebras and leads to the classification of connected Hopf algebras of Gelfand–Kirillov dimension four in Wang et al. (Trans. Amer. Math. Soc., to appear).
DOI : 10.1017/S001708951300058X
Mots-clés : Primary 16A24, 16W30, 57T05
WANG, D.-G.; ZHANG, J. J.; ZHUANG, G. COASSOCIATIVE LIE ALGEBRAS. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 195-215. doi: 10.1017/S001708951300058X
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     title = {COASSOCIATIVE {LIE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {195--215},
     year = {2013},
     volume = {55},
     number = {A},
     doi = {10.1017/S001708951300058X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951300058X/}
}
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