scholarly journals Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras

2003 ◽  
Vol 261 (2) ◽  
pp. 334-388 ◽  
Author(s):  
X. Gomez ◽  
S. Majid
Keyword(s):  
Lie Algebras ◽  
Hopf Algebras ◽  
Braided Lie Algebras

scholarly journals Hopf Algebras, Lie Algebras, and Analytic Groups

1996 ◽  
Vol 181 (1) ◽  
pp. 1-15
Author(s):  
P.B. Chen ◽  
T.S. Wu
Keyword(s):  
Lie Algebras ◽  
Hopf Algebras

scholarly journals RELATIONSHIP BETWEEN GRAPHS AND NICHOLS BRAIDED LIE ALGEBRAS

2019 ◽  
Vol 115 (2) ◽  
pp. 137-141
Author(s):  
Weicai Wu ◽  
Shouchuan Zhang ◽  
Zhengtang Tan
Keyword(s):  
Lie Algebras ◽  
Braided Lie Algebras

Graded (differential) Lie algebras and Hopf algebras

2001 ◽  
pp. 283-298
Author(s):  
Yves Félix ◽  
Stephen Halperin ◽  
Jean-Claude Thomas
Keyword(s):  
Lie Algebras ◽  
Hopf Algebras

scholarly journals Finite presentability of some metabelian Hopf algebras

2005 ◽  
Vol 72 (1) ◽  
pp. 109-127 ◽  
Author(s):  
Dessislava H. Kochloukova
Keyword(s):  
Abelian Group ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Hopf Algebras ◽  
Abelian Ideal ◽  
Finite Presentability ◽  
Finitely Presented ◽  
Homological Type

We classify the Hopf algebras U (L)#kQ of homological type FP2 where L is a Lie algebra and Q an Abelian group such that L has an Abelian ideal A invariant under the Q-action via conjugation and U (L/A)#kQ is commutative. This generalises the classification of finitely presented metabelian Lie algebras given by J. Groves and R. Bryant.

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