Knizhnik-Zamolodchikov type equations for the root system $B$ and Capelli central elements
Representation Theory
2012-12-27 v1 Mathematical Physics
math.MP
Abstract
The construction of the well-known Knizhnik-Zamolodchikov equations uses the central element of the second order in the universal enveloping algebra for some Lie algebra. But in the universal enveloping algebra there are central elements of higher orders. It seems desirable to use these elements for the construction of Knizhnik-Zamolodchikov type equations. In the present paper we give a construction of such Knizhnik-Zamolodchikov type equations for the root system associated with Capelli central elements in the universal enveloping algebra for the orthogonal algebra.
Keywords
Cite
@article{arxiv.1212.6025,
title = {Knizhnik-Zamolodchikov type equations for the root system $B$ and Capelli central elements},
author = {D. V. Artamonov and V. A. Goloubeva},
journal= {arXiv preprint arXiv:1212.6025},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1111.5521