Associahedra, Tamari Lattices and Related Structures

Tamari Memorial Festschrift

  • Folkert Müller-Hoissen
  • Jean Marcel Pallo
  • Jim Stasheff

Part of the Progress in Mathematics book series (PM, volume 299)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Folkert Müller-Hoissen, Hans-Otto Walther
    Pages 1-40
  3. Carl Maxson
    Pages 41-44
  4. Jim Stasheff
    Pages 45-63
  5. Jean-Louis Loday
    Pages 65-79
  6. Susan H. Gensemer
    Pages 81-97
  7. Satyan L. Devadoss, Benjamin Fehrman, Timothy Heath, Aditi Vashist
    Pages 99-117
  8. Cesar Ceballos, Günter M. Ziegler
    Pages 119-127
  9. Christophe Hohlweg
    Pages 129-159
  10. Victor M. Buchstaber, Vadim D. Volodin
    Pages 161-186
  11. Patrick Dehornoy
    Pages 211-250
  12. Ross Street
    Pages 251-268
  13. Frédéric Chapoton
    Pages 269-280
  14. Filippo Disanto, Luca Ferrari, Renzo Pinzani, Simone Rinaldi
    Pages 323-338
  15. María Ronco
    Pages 339-350
  16. Jörg Rambau, Victor Reiner
    Pages 351-390
  17. Aristophanes Dimakis, Folkert Müller-Hoissen
    Pages 391-423

About this book

Introduction

Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This was the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis.

By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value.

On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.

Keywords

Tamari lattice associahedron associativity polytope poset

Editors and affiliations

  • Folkert Müller-Hoissen
    • 1
  • Jean Marcel Pallo
    • 2
  • Jim Stasheff
    • 3
  1. 1.for Dynamics and Self-OrganizationMax-Planck-InstituteGöttingenGermany
  2. 2., Département d'Informatique, LE2IUniversité de BourgogneDijon CedexFrance
  3. 3., Department of MathematicsUniversity of North Carolina at Chapel HChapel HillUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0405-9
  • Copyright Information Springer Basel 2012
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0404-2
  • Online ISBN 978-3-0348-0405-9
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • About this book