Scientific heritage of L. D. Faddeev. Survey of papers

L. A. Takhtajan; A. Yu Alekseev; I. Ya Aref'Eva; M. A. Semenov-Tian-Shansky; E. K. Sklyanin; F. A. Smirnov; S. L. Shatashvili

doi:10.1070/RM9799

Scientific heritage of L. D. Faddeev. Survey of papers

L. A. Takhtajan
, A. Yu Alekseev
, I. Ya Aref'Eva
, M. A. Semenov-Tian-Shansky
, E. K. Sklyanin
, F. A. Smirnov
, S. L. Shatashvili

Mathematics

University of Geneva
Steklov Mathematical Institute of RAS
Steklov Mathematical Institute
UMR 5584 du CNRS
University of York
Sorbonne Université
Trinity College Dublin
Stony Brook University
Institut des Hautes Études Scientifiques
Russian Academy of Sciences

Research output: Contribution to journal › Review article › peer-review

3 Scopus citations

Abstract

This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan. Sections 1.1, 1.2, 2-4, and 6 were written by Takhtajan, §§1.3 and 1.4 by F. A. Smirnov, §§ 5.1 and 5.2 by E. K. Sklyanin, §§ 5.3-5.6 by Sklyanin, Smirnov, and Takhtajan, § 7.1 by M. A. Semenov- Tian-Shansky, §§ 7.2-7.6 by Takhtajan and S. L. Shatashvili, § 7.7 by A. Yu. Alekseev and Shatashvili, and § 8 by I. Ya. Aref'eva. Bibliography: 130 titles.

Original language	English
Pages (from-to)	977-1081
Number of pages	105
Journal	Russian Mathematical Surveys
Volume	72
Issue number	6
DOIs	https://doi.org/10.1070/RM9799
State	Published - 2017

Keywords

algebraic Bethe ansatz
complete integrability
eigenfunction expansion
Faddeev-Popov ghosts
inverse scattering method
inverse scattering problem
Korteweg-de Vries equation
quantization of gauge fields
quantum anomalies
quantum dilogarithm
quantum groups
quantum inverse problem method
scattering theory
Schrödinger operator
Yang-Baxter equation

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10.1070/RM9799

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title = "Scientific heritage of L. D. Faddeev. Survey of papers",

abstract = "This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan. Sections 1.1, 1.2, 2-4, and 6 were written by Takhtajan, §§1.3 and 1.4 by F. A. Smirnov, §§ 5.1 and 5.2 by E. K. Sklyanin, §§ 5.3-5.6 by Sklyanin, Smirnov, and Takhtajan, § 7.1 by M. A. Semenov- Tian-Shansky, §§ 7.2-7.6 by Takhtajan and S. L. Shatashvili, § 7.7 by A. Yu. Alekseev and Shatashvili, and § 8 by I. Ya. Aref'eva. Bibliography: 130 titles.",

keywords = "algebraic Bethe ansatz, complete integrability, eigenfunction expansion, Faddeev-Popov ghosts, inverse scattering method, inverse scattering problem, Korteweg-de Vries equation, quantization of gauge fields, quantum anomalies, quantum dilogarithm, quantum groups, quantum inverse problem method, scattering theory, Schr{\"o}dinger operator, Yang-Baxter equation",

author = "Takhtajan, \{L. A.\} and Alekseev, \{A. Yu\} and Aref'Eva, \{I. Ya\} and Semenov-Tian-Shansky, \{M. A.\} and Sklyanin, \{E. K.\} and Smirnov, \{F. A.\} and Shatashvili, \{S. L.\}",

note = "Publisher Copyright: {\textcopyright} 2017 RAS(DoM) and LMS.",

year = "2017",

doi = "10.1070/RM9799",

language = "English",

volume = "72",

pages = "977--1081",

journal = "Russian Mathematical Surveys",

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AU - Takhtajan, L. A.

AU - Alekseev, A. Yu

AU - Aref'Eva, I. Ya

AU - Semenov-Tian-Shansky, M. A.

AU - Sklyanin, E. K.

AU - Smirnov, F. A.

AU - Shatashvili, S. L.

PY - 2017

Y1 - 2017

N2 - This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan. Sections 1.1, 1.2, 2-4, and 6 were written by Takhtajan, §§1.3 and 1.4 by F. A. Smirnov, §§ 5.1 and 5.2 by E. K. Sklyanin, §§ 5.3-5.6 by Sklyanin, Smirnov, and Takhtajan, § 7.1 by M. A. Semenov- Tian-Shansky, §§ 7.2-7.6 by Takhtajan and S. L. Shatashvili, § 7.7 by A. Yu. Alekseev and Shatashvili, and § 8 by I. Ya. Aref'eva. Bibliography: 130 titles.

AB - This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan. Sections 1.1, 1.2, 2-4, and 6 were written by Takhtajan, §§1.3 and 1.4 by F. A. Smirnov, §§ 5.1 and 5.2 by E. K. Sklyanin, §§ 5.3-5.6 by Sklyanin, Smirnov, and Takhtajan, § 7.1 by M. A. Semenov- Tian-Shansky, §§ 7.2-7.6 by Takhtajan and S. L. Shatashvili, § 7.7 by A. Yu. Alekseev and Shatashvili, and § 8 by I. Ya. Aref'eva. Bibliography: 130 titles.

KW - algebraic Bethe ansatz

KW - complete integrability

KW - eigenfunction expansion

KW - Faddeev-Popov ghosts

KW - inverse scattering method

KW - inverse scattering problem

KW - Korteweg-de Vries equation

KW - quantization of gauge fields

KW - quantum anomalies

KW - quantum dilogarithm

KW - quantum groups

KW - quantum inverse problem method

KW - scattering theory

KW - Schrödinger operator

KW - Yang-Baxter equation

UR - https://www.scopus.com/pages/publications/85045675443

U2 - 10.1070/RM9799

DO - 10.1070/RM9799

M3 - Review article

AN - SCOPUS:85045675443

SN - 0036-0279

VL - 72

SP - 977

EP - 1081

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

IS - 6

ER -

Scientific heritage of L. D. Faddeev. Survey of papers

Abstract

Keywords

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