2012/12/25 by D. V. Artamonov, Artamonov, D. V., Valentina Goloubeva +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math-ph #math.MP #math.RT
paper · pdf · doi:10.48550/arxiv.1212.6025
arXiv admin note: text overlap with arXiv:1111.5521
arxiv created 2012/12/25 · openalex publication_date 2012/12/25 · arxiv updated 2012/12/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 B associated with Capelli central elements in the universal enveloping algebra for the orthogonal algebra.