Quantum symmetries on operator algebras

＜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
出版情報	Oxford : Clarendon Press , 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

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