607 citations
- Russian Academy of SciencesRU28 papers
- Lomonosov Moscow State UniversityRU9 papers
- St Petersburg UniversityRU5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Indiana University – Purdue University IndianapolisUS4 papers
- University of CambridgeGB4 papers
- Bar-Ilan UniversityIL3 papers
- CY Cergy Paris UniversitéFR3 papers
- École Normale Supérieure de LyonFR3 papers
- Laboratoire de Physique de l'ENS de LyonFR3 papers
- Scuola Normale SuperioreIT3 papers
- A. Alikhanyan National LaboratoryAM2 papers
7 papers · 1 filter
Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains
S. E. Derkachov, A. N. Manashov
We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility to represent a solution of the the…
Poisson groups and differential Galois theory of Schroedinger equation on the circle
Ian Marshall, Michael Semenov-Tian-Shansky
We combine the projective geometry approach to Schroedinger equations on the circle and differential Galois theory with the theory of Poisson Lie groups to construct a natural Pois…
Commutator identities on associative algebras and integrability of nonlinear pde's
A. K. Pogrebkov
It is shown that commutator identities on associative algebras generate solutions of linearized integrable equations. Next, a special kind of the dressing procedure is suggested th…
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
Sergey E. Derkachov, Alexander N. Manashov
The problem of constructing the invariant solutions to the Yang-Baxter equation is considered. The solutions (-operators) for arbitrarily principal…
Baxter operators for the quantum sl(3) invariant spin chain
S. E. Derkachov, A. N. Manashov
The noncompact homogeneous sl(3) invariant spin chains are considered. We show that the transfer matrix with generic auxiliary space is factorized into the product of three sl(3) i…
Integrable Systems and Factorization Problems
M. A. Semenov-Tian-Shansky
The present lectures were prepared for the Faro International Summer School on Factorization and Integrable Systems in September 2000. They were intended for participants with the…