Parenthetic remarks

Ross Street*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    The Tamari lattice provides an example of a (non-symmetric) operad. We discuss such operads and their associated monads and monoidal categories. Freeness is an important aspect. The free structures are described in various ways using wellformed words (in the spirit of some of Tamari’s papers), using string diagrams leading to forests, and in terms of rewrite rules.

    Original languageEnglish
    Title of host publicationAssociahedra, tamari lattices and related structures
    Subtitle of host publicationtamari memorial festschrift
    EditorsF MullerHoissen, JM Pallo, J Stasheff
    Place of PublicationBasel
    PublisherSpringer, Springer Nature
    Pages251-268
    Number of pages18
    Volume299
    ISBN (Electronic)9783034804059
    ISBN (Print)9783034804042
    DOIs
    Publication statusPublished - Jun 2012

    Publication series

    NameProgress in Mathematics
    PublisherSPRINGER-VERLAG BERLIN
    Volume299
    ISSN (Print)0743-1643

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