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).
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
@article{10_1017_S001708951300058X,
author = {WANG, D.-G. and ZHANG, J. J. and ZHUANG, G.},
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/}
}
TY - JOUR AU - WANG, D.-G. AU - ZHANG, J. J. AU - ZHUANG, G. TI - COASSOCIATIVE LIE ALGEBRAS JO - Glasgow mathematical journal PY - 2013 SP - 195 EP - 215 VL - 55 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951300058X/ DO - 10.1017/S001708951300058X ID - 10_1017_S001708951300058X ER -
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