Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift
Folkert Müller-Hoissen, Jean Marcel Pallo, Jim Stasheff
Springer Science & Business Media, Jul 13, 2012 - Mathematics - 436 pages
Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been 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.
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On Being a Student of Dov Tamari
How I met Dov Tamari
Dichotomy of the Addition of Natural Numbers
Partial Groupoid Embeddings in Semigroups
Moduli Spaces of Punctured Poincaré Disks
Realizing the Associahedron Mysteries and Questions
Permutahedra and Associahedra
On the Categories of Modules Over the Tamari Posets
The Tamari Lattice as it Arises in Quiver Representations
From the Tamari Lattice to Cambrian Lattices and Beyond
Catalan Lattices on Series Parallel Interval Orders
Generalized Tamari Order
A Survey of the Higher StasheffTamari Orders
KP Solitons Higher Bruhat and Tamari Orders