Dual Lie elements and a derivation for the cofree coassociative coalgebra
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- by Gary Griffing PDF
- Proc. Amer. Math. Soc. 123 (1995), 3269-3277 Request permission
Abstract:
We construct a derivation D in the Hopf algebra TcV, the cofree coassociative coalgebra on a vector space V. We then define the subspace of TcV consisting of dual Lie elements, which is analogous to the subspace of the Hopf algebra TV, the free associative algebra on V, consisting of Lie elements. Thereafter, we formulate a dual Dynkin-Specht-Wever theorem. Using our map D, we then give very short proofs of both the dual Dynkin-Specht-Wever and dual Friedrichs’ theorems, each of which characterizes the space of dual Lie elements in TcV at characteristic 0.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3269-3277
- MSC: Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273493-6
- MathSciNet review: 1273493