Compatible associative products and trees

Vladimir Dotsenko

doi:10.2140/ant.2009.3.567

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Home > Journals > Algebra Number Theory > Volume 3 > Issue 5 > Article

2009 Compatible associative products and trees

Vladimir Dotsenko

Algebra Number Theory 3(5): 567-586 (2009). DOI: 10.2140/ant.2009.3.567

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Abstract

We compute dimensions and characters of the components of the operad of two compatible associative products and give an explicit combinatorial construction of the corresponding free algebras in terms of planar rooted trees.