A Hopf algebra of subword complexes (Q340441)
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scientific article; zbMATH DE number 6652662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Hopf algebra of subword complexes |
scientific article; zbMATH DE number 6652662 |
Statements
A Hopf algebra of subword complexes (English)
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14 November 2016
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A Hopf algebra structure is introduced on the vector space generated by all facets of irreducible subword complexes, including finite and infinite types. An explicit cancellation-free formula for the antipode is given by using acyclic orientations of certain graphs. A non-trivial Hopf subalgebra on \(c\)-clusters of finite type is derived.
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subword complex
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Hopf algebra
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cluster algebra
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associahedron
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multi-associahedron
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