Pattern Hopf algebras

DOI10.1007/s00026-022-00578-3zbMath1504.16057arXiv2001.09800OpenAlexW4224250918MaRDI QIDQ2155549

Raul Penaguiao

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2001.09800

zbMATH Keywords

Hopf algebrasfree algebrasspeciespresheavesmarked permutationspattern functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)

Cites Work

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• Free Hopf algebras generated by coalgebras
• Monoidal Functors, Species and Hopf Algebras
• THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE
• Critical groups for Hopf algebra modules
• The Hopf monoid of orbit polytopes
• Free differential calculus. IV: The quotient groups of the lower central series
• The algebra of quasi-symmetric functions is free over the integers

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