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Lie-Hopf algebras and their Hopf cyclic cohomology
Lie-Hopf algebras Hopf cyclic cohomology
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...
Lie-Hopf algebras and loop homology of suspension spaces
Lie-Hopf algebras loop homology suspension spaces
2010/11/18
For an arbitrary topological space $X$, the loop space homology $H_*(\Omega\Sigma X; \mathbb{Z})$ is a Hopf algebra. We introduce a new homotopy invariant of a topological space $X$ that takes values...