The Hopf monoid on nonnesting supercharacters of pattern groups
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Publication:894243
DOI10.1007/s10801-014-0576-8zbMath1365.20005arXiv1405.5480OpenAlexW2015306152MaRDI QIDQ894243
Publication date: 30 November 2015
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.5480
Combinatorial aspects of representation theory (05E10) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)
Related Items (7)
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 ⋮ Unnamed Item ⋮ Supercharacter Theories Constructed by the Method of Little Groups ⋮ Pattern groups and a poset based Hopf monoid ⋮ Pattern groups and a poset based Hopf monoid
Cites Work
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- Enumerating p -Groups. I: Inequalities
- Supercharacter formulas for pattern groups
- Supercharacters and superclasses for algebra groups
- The basic character table of the unitriangular group
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