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<図書>
Quantum symmetries on operator algebras

責任表示 David E. Evans and Yasuyuki Kawahigashi
シリーズ Oxford mathematical monographs
データ種別 図書
出版者 Oxford : Clarendon Press
出版年 1998
本文言語 英語
大きさ xv, 829 p. ; 24 cm
概要 In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications in both pure mathematics and mathematical ph...sics. The theory was initiated by von Neumann and Murray as a tool for studying group representations and as a framework for quantum mechanics, and has since kept in touch with its roots in physics as a framework for quantum statistical mechanics and the formalism of algebraic quantum field theory. However, in 1981, the study of operator algebras took a new turn with the introduction by Vaughn Jones of subfactor theory, leading to remarkable connections with knot theory, 3-manifolds, quantum groups, and integrable systems in statistical mechanics and conformal field theory. This book, one of the first in the area, looks at these combinatorial-algebraic developments from the perspective of operator algebras. With minimal prerequisites from classical theory, it brings the reader to the forefront of research. 続きを見る

所蔵情報


中央図 3E 054211998001664 415.5/E 88/54980166 1998

中央図 自動書庫 032212014003130 415.5/E 88 2004

理系図3F 数理独自 023211998003304 EVAN/3/1 c1998

書誌詳細

一般注記 Includes bibliography (p. [765]-818) and index
著者標目 *Evans, David E.
河東, 泰之 <カワヒガシ, ヤスユキ>
件 名 LCSH:Operator algebras
LCSH:Quantum groups
LCSH:Symmetry (Physics)
LCSH:Mathematical physics
分 類 LCC:QC20.7.O65
DC21:512/.55
NDC8:415.5
NDC8:411.6
書誌ID 1000220578
ISBN 0198511752
NCID BA36062568
巻冊次 ISBN:0198511752
登録日 2009.09.11
更新日 2014.08.21

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