MMN-2591
Invariants under decomposition of the conjugation in the mod 2 dual Leibniz-Hopf Algebra
Neset Deniz Turgay;Abstract
The Leibniz-Hopf algebra is the free associative algebra on one generator, $S^n$, in each positive degree, with coproduct $\Delta(S^n) = \sum S^j \otimes S^{n-j}$. Let $\C$
and $\R$ denote coarsening and reversing operations on the mod $2$ dual Leibniz-Hopf algebra.
We consider decomposition of the Hopf algebra conjugation $\chi=\C \circ \R$ in this dual Hopf algebra and calculate bases for the fixed points of this algebra under the operations $\C$ and $\R$.
Vol. 19 (2018), No. 2, pp. 1217-1222