Abstract
Shuffle algebras are monoids for an unconventional 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.
Citation
Vladimir Dotsenko. Anton Khoroshkin. "Shuffle algebras, homology, and consecutive pattern avoidance." Algebra Number Theory 7 (3) 673 - 700, 2013. https://doi.org/10.2140/ant.2013.7.673
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