A selection-quotient process for packed word Hopf algebra
G. H.E. Duchamp, N. Hoang-Nghia, A. Tanasa
TL;DR
This paper introduces a new Hopf algebra structure on packed words using a selection-quotient coproduct, demonstrating its freeness on irreducible elements and providing implementation details.
Contribution
It defines a novel Hopf algebra on packed words with a selection-quotient coproduct and proves its freeness on irreducible packed words.
Findings
The algebra is free on irreducible packed words
Provides Maple code for algebra construction
Introduces a new coproduct for packed words
Abstract
In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection-quotient coproduct. We show that this algebra is free on its irreducible packed words. Finally, we give some brief explanations on the Maple codes we have used.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics