Bruhat order on plane posets and applications

DOI10.1016/j.jcta.2014.03.010zbMath1295.05261arXiv1211.5449OpenAlexW2080562851MaRDI QIDQ2452421

Loïc Foissy

Publication date: 3 June 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5449

zbMATH Keywords

weak Bruhat orderplane posetsinfinitesimal unital bialgebras

Mathematics Subject Classification ID

Partial orders, general (06A06) Partitions of sets (05A18) Symmetric functions and generalizations (05E05) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Plane posets, special posets, and permutations
• Noncommutative symmetric functions. VII: Free quasi-symmetric functions revisited
• The Hopf algebras of decorated rooted trees. II
• Construction of dendriform trialgebras.
• The infinitesimal Hopf algebra and the poset of planar forests.
• A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
• Specht series for skew representations of symmetric groups
• A Littlewood-Richardson miscellany
• Comparison of Hopf algebras on trees.
• Cofree Hopf algebras.
• The Hopf algebras of decorated rooted trees. I
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Tableau algorithms defined naturally for pictures
• Algebraic structures on double and plane posets
• \(P\)-partitions and the plactic congruence
• A self paired Hopf algebra on double posets and a Littlewood-Richardson rule
• Deformation of the Hopf algebra of plane posets.
• On the structure of cofree Hopf algebras
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS
• Ordered structures and partitions

This page was built for publication: Bruhat order on plane posets and applications