Geodesic
Doubling Operations and Monodromy of Generalized Knizhnik--Zamolodchikov Equations
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 218-225

Voir la notice de l'article provenant de la source Math-Net.Ru

The Knizhnik–Zamolodchikov (KZ) equations associated to root systems of $A$ and $B$ types are considered whose coefficients belong to the algebras of chord diagrams and symmetric chord diagrams, respectively. Explicit formulas for the monodromy of these equations are derived with the use of doubling operations in the algebras of chord diagrams. Reductions of the KZ equations with matrix coefficients to Schlesinger deformations are considered. The simplest solutions to the Schlesinger equations under such reductions are found. 
@article{TRSPY_2002_236_a22,
     author = {V. P. Leksin},
     title = {Doubling {Operations} and {Monodromy} of {Generalized} {Knizhnik--Zamolodchikov} {Equations}},
     journal = {Informatics and Automation},
     pages = {218--225},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a22/}
}
TY  - JOUR
AU  - V. P. Leksin
TI  - Doubling Operations and Monodromy of Generalized Knizhnik--Zamolodchikov Equations
JO  - Informatics and Automation
PY  - 2002
SP  - 218
EP  - 225
VL  - 236
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a22/
LA  - ru
ID  - TRSPY_2002_236_a22
ER  - 
%0 Journal Article
%A V. P. Leksin
%T Doubling Operations and Monodromy of Generalized Knizhnik--Zamolodchikov Equations
%J Informatics and Automation
%D 2002
%P 218-225
%V 236
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a22/
%G ru
%F TRSPY_2002_236_a22
V. P. Leksin. Doubling Operations and Monodromy of Generalized Knizhnik--Zamolodchikov Equations. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 218-225. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a22/