Noncommutative Pfaffians associated with the orthogonal algebra

DOI10.1070/SM2012v203n12ABEH004283zbMath1272.58001MaRDI QIDQ4910688

Dmitry V. Artamonov, Valentina Golubeva

Publication date: 19 March 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

centerKnizhnik-Zamolodchikov equationorthogonal algebranoncommutative PfaffianCapelli element

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Pfaffian systems (58A17) Groups and algebras in quantum theory and relations with integrable systems (81R12) Noncommutative geometry (à la Connes) (58B34) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

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Central elements of the universal enveloping algebra and functions of matrix elements ⋮ \(W\)-algebras and higher analogues of the Knizhnik-Zamolodchikov equations

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