The structure of normal lattice supercharacter theories

DOI10.5802/alco.126OpenAlexW3093634620MaRDI QIDQ2004045

Nathaniel Thiem, Farid Aliniaeifard

Publication date: 14 October 2020

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01353

zbMATH Keywords

tensor productsdistributive latticessupercharactersrestriction functor

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (5)

Characters arising from monomial coadjoint orbits for finite pattern groups ⋮ A conjecture about characters of finite pattern groups ⋮ A categorification of the Malvenuto-Reutenauer algebra via a tower of groups ⋮ Pattern groups and a poset based Hopf monoid ⋮ Pattern groups and a poset based Hopf monoid

Cites Work

• Normal supercharacter theories and their supercharacters
• A supercharacter analogue for normality.
• The Hopf monoid on nonnesting supercharacters of pattern groups
• Ramanujan sums as supercharacters
• A SUPERCHARACTER TABLE DECOMPOSITION VIA POWER-SUM SYMMETRIC FUNCTIONS
• Groups with exactly two supercharacter theories
• Pattern groups and a poset based Hopf monoid

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