THE KNIZHNIK-ZAMOLODCHIKOV EQUATIONS ASSOCIATED WITH THE ROOT SYSTEM G_2

摘要

At the end of the twentieth century, in mathematical physics, the Knizhnik-Zamolodchikov equations for the root systems A_n and their generalizations for the root systems of types B_n,, C_n, and D were constructed. For the root system of type G_2, the vector version of the Knizhnik-Zamolodchikov equations was obtained by M. P. Zamakhovskii and V. P. Leksin. However, the tensor version of these equations has remained unstudied. In this paper, the Knizhnik-Zamolodchikov equations associated with the root system of type G_2 are considered.