UID:
almahu_9949462112602882
Format:
1 online resource (150 p.)
ISBN:
9783110264524
,
9783110494969
Series Statement:
De Gruyter Expositions in Mathematics , 58
Content:
This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications.The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
Chapter 1. Krichever-Novikov algebras: basic definitions and structure theory --
,
Chapter 2. Fermion representations and Sugawara construction --
,
Chapter 3. Projective flat connections on the moduli space of punctured Riemann surfaces and the Knizhnik-Zamolodchikov equation --
,
Chapter 4. Lax operator algebras --
,
Chapter 5. Lax equations with a spectral parameter on Riemann surfaces, and their hierarchies --
,
Chapter 6. Lax integrable systems and conformal field theory --
,
Bibliography --
,
Notation --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926
Additional Edition:
ISBN 9783110263961
Language:
English
DOI:
10.1515/9783110264524
URL:
https://doi.org/10.1515/9783110264524
URL:
https://www.degruyter.com/isbn/9783110264524
