Shuffle algebras, homology, and consecutive pattern avoidance

Anton Khoroshkin; Vladimir Dotsenko

Shuffle algebras, homology, and consecutive pattern avoidance

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arxiv 1109.2690 v2 pith:6ASBVMG4 submitted 2011-09-13 math.CO math.KT

Vladimir Dotsenko , Anton Khoroshkin This is my paper · ORCID

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Shuffle algebras are monoids for an unconvential monoidal category structure on graded vector spaces. We present two homological results on shuffle algebras with monomial relations, and use them to prove exact and asymptotic results on consecutive pattern avoidance in permutations.

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