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Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
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2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
Graphs and the (co)homology of Lie algebras
Graphs (co)homology Lie algebras
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2011/8/23
Abstract: In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras over the ...
Lie-Hopf algebras and their Hopf cyclic cohomology
Lie-Hopf algebras Hopf cyclic cohomology
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2011/2/24
The correspondence between Lie algebras, Lie groups, and alge-braic groups, on one side and commutative Hopf algebras on the other side are known for a long time by works of Hochschild-Mostow and othe...