ENGLISH

Coxeter Graphs and Towers of Algebras

By Frederick M. Goodman , Pierre de la Harpe , Vaughan F. R. Jones (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1989
ISBN
0387969799, 9780387969794
DOI
10.1007/978-1-4613-9641-3
LCC
QA247 .G68 1989
Open Library ID
OL2187834M
Language
english
Format
DJVU
Filesize
4 MB (4266761 bytes)
Series
Mathematical Sciences Research Institute Publications 14
Edition
1
Pages
288\298
Library
Kolxo3
DPI
600
Orientation
yes
Scanned
yes
Time added
2009-07-20 03:45:11
Algebraic Geometry; Statistical PhysicsDynamical Systems and Complexity

Description

A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. It was discovered soon after the appearance of this paper that certain algebras which are used there for the analysis of subfactors could also be used to define a new polynomial invariant for links. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory. In turn, the link invariants, the notion of a quantum group, and the quantum Yang-Baxter equation have had a great impact on the study of subfactors. Our subject is certain algebraic and von Neumann algebraic topics closely related to the original paper. However, in order to promote, in a modest way, the contact between diverse fields of mathematics, we have tried to make this work accessible to the broadest audience. Consequently, this book contains much elementary expository material.

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