The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables

DOI10.1016/j.aam.2011.01.002zbMath1233.05204arXiv1006.0367OpenAlexW2963446937MaRDI QIDQ719334

Aaron Lauve, Mitja Mastnak

Publication date: 10 October 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0367

zbMATH Keywords

antipodeset partitionscombinatorial Hopf algebrasprimitivesset compositions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (8)

Schur functions in noncommuting variables ⋮ 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. ⋮ The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables ⋮ Chromatic symmetric functions in noncommuting variables revisited ⋮ Relations between cumulants in noncommutative probability ⋮ Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras ⋮ Bialgebra coverings and transfer of structure

Cites Work

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• Supercharacters and superclasses for algebra groups
• Symmetric functions in noncommuting variables

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