The Knizhnik-Zamolodchikov equations associated with the root system G2 |
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Authors: | E. V. Suchilkina |
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Affiliation: | (1) Kolomna State Pedagogical Institute, Kolomna, Moscow oblast, Russia |
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Abstract: | 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. __________ Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 38, Suzdal Conference-2004, Part 3, 2006. |
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