Quantum algebra structure of certain Jackson integrals

DOI10.1007/BF02096880zbMath0795.17023OpenAlexW1999487935MaRDI QIDQ1311702

Atsushi Matsuo

Publication date: 25 September 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096880

zbMATH Keywords

root systemcorrelation functionquantum Knizhnik-Zamolodchikov equationJackson integrals\(q\)-vertex operators\(q\)-difference system

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (10)

Connection formula of symmetric \(A\)-type Jackson integrals ⋮ Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals ⋮ \(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ Askey-Wilson polynomials by means of a \(q\)-Selberg type integral ⋮ Quantum $q$-Langlands Correspondence ⋮ Derivation of q-difference equation from connection matrix for selberg type jackson integrals ⋮ Free boson representation of \(q\)-vertex operators and their correlation functions ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. I ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. II ⋮ Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type

Cites Work

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• Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type

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