Format:
Online-Ressource (XX, 433 p. 214 illus., 127 illus. in color, digital)
ISBN:
9783034804059
,
1283624990
,
9781283624992
Series Statement:
Progress in Mathematics 299
Content:
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.
Note:
Description based upon print version of record
,
Associahedra, Tamari Latticesand Related Structures; Preface; Contents; List of Contributors; Dov Tamari (formerly Bernhard Teitler); 1 Germany; 2 Palestine; 3 France; 4 Tamari's thesis and beyond; 5 Israel; 6 Via Princeton to Brazil; 7 The Netherlands; 8 USA; 9 Tamari-Technion Affair; 9.1 Freudenthal's initiative; 9.2 AMS and CAFTES; 10 After retirement; 10.1 Mathematical activities; 10.2 Back to the roots; 11 Further recollections; References; On Being a Student of Dov Tamari; How I 'met' Dov Tamari; 1 Introduction/History; 1.1 The so-called Stasheff polytope; 1.2 Giving due credit
,
1.3 Outline of this paper2 Realization; 3 Other polytopes; 3.1 Multiplihedra; 3.2 Cyclohedra and generalized associahedra; 3.3 Compactified configuration spaces; 4 Applications; 4.1 Coderivation interpretation and curvature; 4.2 Pentagonal algebras; 4.3 The pentagonal algebra of open string field theory; 4.4 An-structures for 4 5; 7 An algebraic construction of higher Bruhat and Tamari orders; 7.1 Higher Bruhat orders and simplex equations; 7.2 Equations associated with higher Tamari orders; 8 Further remarks; References; Appendix Dov Tamari's Publications; Index;
Additional Edition:
ISBN 9783034804042
Additional Edition:
Buchausg. u.d.T. Associahedra, tamari lattices and related structures Basel [u.a.] : Birkhäuser, 2012 ISBN 9783034804042
Additional Edition:
ISBN 3034804040
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-0348-0405-9
URL:
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URL:
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