Order structure on the algebra of permutations and of planar binary trees
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Publication:1604770
DOI10.1023/A:1015064508594zbMath0998.05013arXivmath/0102066MaRDI QIDQ1604770
Jean-Louis Loday, María O. Ronco
Publication date: 8 July 2002
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0102066
Trees (05C05) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Ordered sets (06A99)
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Cites Work
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- A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
- Hopf algebra of the planar binary trees
- Noncommutative symmetric functions
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Renormalization of QED with planar binary trees
- Dialgebras and related operads
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