**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2000; 321 pp; Hardcover

MSC: Primary 00; 37; 17; 53; 35; Secondary 81

Print ISBN: 978-0-8218-2133-6

Product Code: TRANS2/201

Print ISBN: 978-0-8218-2133-6

Product Code: TRANS2/201

List Price: $130.00

Individual Member Price: $104.00

**Electronic ISBN: 978-1-4704-3412-0
Product Code: TRANS2/201.E**

List Price: $130.00

Individual Member Price: $104.00

# L. D. Faddeev’s Seminar on Mathematical Physics

Share this page *Edited by *
*Michael Semenov-Tian-Shansky*

Professor L. D. Faddeev's seminar at Steklov Mathematical
Institute (St. Petersburg, Russia) has a record of more than 30 years
of intensive work which has helped to shape modern mathematical physics. This
collection, honoring Professor Faddeev's 65th anniversary, has been
prepared by his students and colleagues.

Topics covered in the volume include classical and quantum
integrable systems (both analytic and algebraic aspects), quantum
groups and generalizations, quantum field theory, and deformation
quantization. Included is a history of the seminar highlighting
important developments, such as the invention of the quantum inverse
scattering method and of quantum groups. The book will serve nicely as
a comprehensive, up-to-date resource on the topic.

#### Readership

Graduate students and research mathematicians and mathematical physicists interested in integrable systems, quantum groups and string theory; theoretical physicists.

# Table of Contents

## L. D. Faddeev's Seminar on Mathematical Physics

- Cover Cover11
- Frontispiece iv5
- Title page v6
- Copyright page vi7
- Contents vii8
- Some personal historic notes on our seminar 110
- An elementary derivation of certain classical dynamical 𝑟-matrices 918
- Incidence matrix description of intersecting 𝑝-brane solutions 1928
- A discrete time Lagrange top and discrete elastic curves 3948
- The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation 6372
- From the tetrahedron equation to universal 𝑅-matrices 7988
- On some quadratic algebras 91100
- Quantum inverse scattering method and correlation functions 115124
- Testing Seiberg-Witten solution 123132
- Drinfeld twists and algebraic Bethe ansatz 137146
- Darboux transformations, covariance theorems and integrable systems 179188
- Generalized 𝑞-deformed Gelfand-Dickey structures on the group of 𝑞-pseudodifference operators 211220
- On time evolutions associated with the nonstationary Schrödinger equation 239248
- Deformation quantization of Kähler manifolds 257266
- Canonicity of Bäcklund transformation: 𝑟-matrix approach. I 277286
- Quasi-classical study of form factors in finite volume 283292
- Completeness of the hypergeometric solutions of the 𝑞𝐾𝑍 equation at level zero 309318
- Back Cover Back Cover1333