Hopf structures in the representation theory of direct products

DOI10.37236/11259OpenAlexW3213907940MaRDI QIDQ2112577

Nathaniel Thiem, Farid Aliniaeifard

Publication date: 11 January 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03131

zbMATH Keywords

combinatorial Hopf algebrasupercharacternon-commutative symmetric function

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Cites Work

• Unnamed Item
• The peak algebra and the Hecke-Clifford algebras at \(q=0\)
• Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
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• Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
• Basic characters of the unitriangular group
• A categorification of the Malvenuto-Reutenauer algebra via a tower of groups
• A diagrammatic approach to categorification of quantum groups I
• Supercharacters and superclasses for algebra groups
• Pattern groups and a poset based Hopf monoid

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