Hopf monoids from class functions on unitriangular matrices
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Publication:380387
DOI10.2140/ant.2013.7.1743zbMath1276.05127arXiv1203.1572OpenAlexW1989399967MaRDI QIDQ380387
Marcelo Aguiar, Nantel Bergeron, Nathaniel Thiem
Publication date: 13 November 2013
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.1572
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite groups of Lie type (20C33) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)
Related Items (17)
Closed expressions for averages of set partition statistics ⋮ The Hopf monoid on nonnesting supercharacters of pattern groups ⋮ A \(\mathrm{GL}(\mathbb{F}_q)\)-compatible Hopf algebra of unitriangular class functions ⋮ Restrictions of rainbow supercharacters ⋮ Combinatorial Hopf algebra of superclass functions of type \(D\). ⋮ The antipode and primitive elements in the Hopf monoid of supercharacters ⋮ Strong forms of linearization for Hopf monoids in species ⋮ Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups ⋮ A categorification of the Malvenuto-Reutenauer algebra via a tower of groups ⋮ The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables ⋮ Supercharacter theories of type \(A\) unipotent radicals and unipotent polytopes ⋮ Strong forms of self-duality for Hopf monoids in species ⋮ The antipode of linearized Hopf monoids ⋮ Supercharacter Theories Constructed by the Method of Little Groups ⋮ Pattern groups and a poset based Hopf monoid ⋮ Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras ⋮ Pattern groups and a poset based Hopf monoid
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