Hopf algebra structure on packed square matrices.
From MaRDI portal
Publication:2347880
DOI10.1016/j.jcta.2015.02.001zbMath1335.16022arXiv1306.6605OpenAlexW2069946108MaRDI QIDQ2347880
Hayat Cheballah, Samuele Giraudo, Rémi Maurice
Publication date: 10 June 2015
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.6605
Hopf algebrasalternating sign matricessix-vertex modeluniform block permutationspacked square matrices
Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Connections of Hopf algebras with combinatorics (16T30)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The algebra of binary search trees
- Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions
- Alternating-sign matrices and domino tilings. II
- Calculation of norms of Bethe wave functions
- Bidendriform bialgebras, trees, and free quasi-symmetric functions.
- Osculating paths and oscillating tableaux
- The Hopf algebra of uniform block permutations.
- Alternating sign matrices and descending plane partitions
- Determinants and alternating sign matrices
- Hopf algebra of the planar binary trees
- Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
- Algebraic and combinatorial structures on pairs of twin binary trees
- Noncommutative symmetric functions
- An analogue of the plactic monoid for binary search trees
- Alternating sign matrices
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Longest Increasing and Decreasing Subsequences
- Hopf algebras and dendriform structures arising from parking functions
- NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF Uq(glN)
- NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS
