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.
| Original language | English |
|---|---|
| Pages (from-to) | 673-700 |
| Number of pages | 28 |
| Journal | Algebra and Number Theory |
| Volume | 7 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2013 |
| Externally published | Yes |
Keywords
- Consecutive pattern avoidance
- Free resolution
- Shuffle algebra
ASJC Scopus subject areas
- Algebra and Number Theory
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