Pattern groups and a poset based Hopf monoid
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Publication:5919438
DOI10.1016/j.jcta.2019.105187zbMath1452.20004arXiv1810.01826OpenAlexW2998080699MaRDI QIDQ5919438
Nathaniel Thiem, Farid Aliniaeifard
Publication date: 21 February 2020
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01826
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Connections of Hopf algebras with combinatorics (16T30)
Related Items (4)
The combinatorics of normal subgroups in the unipotent upper triangular group ⋮ A \(\mathrm{GL}(\mathbb{F}_q)\)-compatible Hopf algebra of unitriangular class functions ⋮ The structure of normal lattice supercharacter theories ⋮ A categorification of the Malvenuto-Reutenauer algebra via a tower of groups
Cites Work
- Normal supercharacter theories and their supercharacters
- Hopf monoids from class functions on unitriangular matrices
- The antipode and primitive elements in the Hopf monoid of supercharacters
- The monomial basis and the \(Q\)-basis of the Hopf algebra of parking functions.
- Hopf-algebraic structure of families of trees
- Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
- The Hopf monoid on nonnesting supercharacters of pattern groups
- Restrictions of rainbow supercharacters
- The structure of normal lattice supercharacter theories
- The characteristic polynomial of the Adams operators on graded connected Hopf algebras.
- A SUPERCHARACTER TABLE DECOMPOSITION VIA POWER-SUM SYMMETRIC FUNCTIONS
- Monoidal Functors, Species and Hopf Algebras
- Hopf algebras and dendriform structures arising from parking functions
- The combinatorics of GL n generalized Gelfand-Graev characters
- Supercharacters and superclasses for algebra groups
- Unnamed Item
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