A SUPERCHARACTER TABLE DECOMPOSITION VIA POWER-SUM SYMMETRIC FUNCTIONS

DOI10.1142/S0218196713400171zbMath1283.20004arXiv1112.4901MaRDI QIDQ2842019

Nantel Bergeron, Nathaniel Thiem

Publication date: 30 July 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4901

zbMATH Keywords

supercharacter tablesHopf algebras of symmetric functionssuperclass basestriangular groups over finite fields

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Ordinary representations and characters (20C15) Connections of Hopf algebras with combinatorics (16T30)

Related Items (14)

Closed expressions for averages of set partition statistics ⋮ Two-dimensional topological theories, rational functions and their tensor envelopes ⋮ The Hopf monoid on nonnesting supercharacters of pattern groups ⋮ Restrictions of rainbow supercharacters ⋮ Combinatorial Hopf algebra of superclass functions of type \(D\). ⋮ The antipode and primitive elements in the Hopf monoid of supercharacters ⋮ The structure of normal lattice supercharacter theories ⋮ Supercharacter theories of type \(A\) unipotent radicals and unipotent polytopes ⋮ A Plancherel measure associated to set partitions and its limit ⋮ A Plancherel measure associated to set partitions and its limit ⋮ Pattern groups and a poset based Hopf monoid ⋮ Indecomposable Supercharacters of the Infinite Unitriangular Group ⋮ A supercharacter theory for involutive algebra groups. ⋮ Pattern groups and a poset based Hopf monoid

Cites Work

• Unnamed Item
• Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
• Basic characters of the unitriangular group
• Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables
• THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE
• Supercharacters and superclasses for algebra groups
• Symmetric functions in noncommuting variables

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