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- W1970784956 abstract "We construct a derivation <italic>D</italic> in the Hopf algebra <italic>TcV</italic>, the cofree coassociative coalgebra on a vector space <italic>V</italic>. We then define the subspace of <italic>TcV</italic> consisting of dual Lie elements, which is analogous to the subspace of the Hopf algebra <italic>TV</italic>, the free associative algebra on <italic>V</italic>, consisting of Lie elements. Thereafter, we formulate a dual Dynkin-Specht-Wever theorem. Using our map <italic>D</italic>, 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 <italic>TcV</italic> at characteristic 0." @default.
- W1970784956 created "2016-06-24" @default.
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- W1970784956 date "1995-01-01" @default.
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- W1970784956 title "Dual Lie elements and a derivation for the cofree coassociative coalgebra" @default.
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- W1970784956 doi "https://doi.org/10.1090/s0002-9939-1995-1273493-6" @default.
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