Generalized Knizhnik--Zamolodchikov equations and the factorization of their solutions
Matematičeskie zametki, Tome 54 (1993) no. 5, pp. 25-34.

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

@article{MZM_1993_54_5_a2,
     author = {V. A. Golubeva and V. P. Leksin},
     title = {Generalized {Knizhnik--Zamolodchikov} equations and the factorization of their solutions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {25--34},
     publisher = {mathdoc},
     volume = {54},
     number = {5},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a2/}
}
TY  - JOUR
AU  - V. A. Golubeva
AU  - V. P. Leksin
TI  - Generalized Knizhnik--Zamolodchikov equations and the factorization of their solutions
JO  - Matematičeskie zametki
PY  - 1993
SP  - 25
EP  - 34
VL  - 54
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a2/
LA  - ru
ID  - MZM_1993_54_5_a2
ER  - 
%0 Journal Article
%A V. A. Golubeva
%A V. P. Leksin
%T Generalized Knizhnik--Zamolodchikov equations and the factorization of their solutions
%J Matematičeskie zametki
%D 1993
%P 25-34
%V 54
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a2/
%G ru
%F MZM_1993_54_5_a2
V. A. Golubeva; V. P. Leksin. Generalized Knizhnik--Zamolodchikov equations and the factorization of their solutions. Matematičeskie zametki, Tome 54 (1993) no. 5, pp. 25-34. http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a2/

[1] Knizhnik V. G., Zamolodchikov A. B., “Current algebra and Wess–Zumino models in two dimensions”, Nucl. Phys., B247 (1984), 83–103 | DOI | MR

[2] Kohno T., “Hecke algebra representations of braid groups and classical Yang–Baxter equations”, Advanced studies in pure math., 16 (1988), 255–269 | MR | Zbl

[3] Cherednik I. V., “Faktorizatsiya chastits na polupryamoi i kornevye sistemy”, TMF, 63 (1984), 35–43 | MR

[4] Cherednik I. V., “Obobschennye gruppy kos i lokalnye $r$-matrichnye sistemy”, DAN SSSR, 307:1 (1989), 49–53 | Zbl

[5] Cherednik I. V., “Monodromy representations for generalized Knizhnik–Zamolodchikov equations and Hecke algebras”, Publ. Res. Inst. Math. Sci. Kyoto Univ., 27:5 (1991), 711–726 | DOI | MR | Zbl

[6] Cherednik I. V., “A unification of Knizhnik–Zamolodchikov and Dunkl operators via affine Hecke algebras”, Invent. math., 106 (1991), 411–431 | DOI | MR

[7] Bolibrukh A. A., “O povedenii reshenii pfaffovoi sistemy v okrestnosti osoboi tochki”, Sovremennye problemy matematiki v fiziko-tekhnicheskikh zadachakh, MFTI, M., 1986, 8–11 | MR

[8] Deligne P., Equations differentielles à points singularies reguliers, Lecture Notes in Math., 163, Springer, 1970 | MR | Zbl

[9] Takano K., “A reduction theorem for linear Pfaffian system with regular singular points”, Arch Math., 3 (1978–79), 310–316 | DOI | MR

[10] Leksin V. P., “Sootnosheniya v algebre golonomii mnogoobraziya i teoremy Khopfa o $H_2(\tau _1(M))$”, Algebraicheskie voprosy analiza i topologii, Voronezh, 1990, 130–136 | MR

[11] Markuschevich D. G., “The $D_n$ generalized pure braid group”, Geometriae Dedicata, 40 (1991), 73–96 | MR

[12] Bolibrukh A. A., “O fundamentalnoi matritse Pfaffa tipa Fuksa”, Izv. AN SSSR. Ser. matem., 41:5 (1977), 1084–1109 | MR | Zbl

[13] Briskorn E., “O gruppakh kos”, Matematika. Sbornik perevodov, 18:3 (1974)