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A LL-lattice reformulation of arithmetree over planar rooted trees. Part II
[article]
2004
arXiv
pre-print
We continue our reformulation of free dendriform algebras, dealing this time with the free dendriform trialgebra generated be Y over planar rooted trees. We propose a 'deformation' of a vectorial coding used in Part I, giving a LL-lattice on rooted planar trees according to the terminology of A. Blass and B. E. Sagan. The three main operations on trees become explicit, giving thus a complementary approach to a very recent work of P. palacios and M. Ronco. Our parenthesis framework allows a more
arXiv:math/0408349v1
fatcat:e2xqeoq3zbe6fkupxwvo6sxbru