The Hopf algebra of uniform block permutations.

DOI10.1007/s10801-008-0120-9zbMath1180.16024arXivmath/0505199OpenAlexW1979903302MaRDI QIDQ1024807

Marcelo Aguiar, Rosa C. Orellana

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0505199

zbMATH Keywords

Hopf algebrasset partitionsuniform block permutations

Mathematics Subject Classification ID

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

Related Items

Bidendriform bialgebras, trees, and free quasi-symmetric functions., A polynomial realization of the Hopf algebra of uniform block permutations., Explicit pseudo-Kähler metrics on flag manifolds, Free and cofree Hopf algebras., A graphical calculus for integration over random diagonal unitary matrices, PRIME IRREDUCIBLE MATRIX REPRESENTATIONS OF A LEFT AMPLE SEMIGROUP, Möbius functions and semigroup representation theory. II: Character formulas and multiplicities., Partial symmetry, reflection monoids and Coxeter groups., Primitive elements in the matroid-minor Hopf algebra, Germs and semigroup representation theory, Hopf algebra structure on packed square matrices.

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