Connection formula of symmetric $A$-type Jackson integrals
Kazuhiko Aomoto and Yoshifumi Kato
Source: Duke Math. J. Volume 74, Number 1
(1994), 129-143.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288012
Mathematical Reviews number (MathSciNet): MR1271466
Zentralblatt MATH identifier: 0802.33016
Digital Object Identifier: doi:10.1215/S0012-7094-94-07406-1
References
[A1] K. Aomoto, On connection coefficients for $q$-difference system of $A$-type Jackson integral, to appear in SIAM J. Math. Anal.
Mathematical Reviews (MathSciNet): MR1266558
Zentralblatt MATH: 0794.33011
Digital Object Identifier: doi:10.1137/S0036141092227460
[A2] K. Aomoto, On a theta product formula for the symmetric $A$-type connection function, preprint, 1993.
Mathematical Reviews (MathSciNet): MR1323100
Zentralblatt MATH: 0822.33011
Project Euclid: euclid.ojm/1200785863
[A3] K. Aomoto, Gauss matrix decomposition and a solution to Yang-Baxter equation, to appear in J. Math. Anal. Appl.
Mathematical Reviews (MathSciNet): MR1265886
Zentralblatt MATH: 0819.33011
Digital Object Identifier: doi:10.1006/jmaa.1994.1070
[AK] K. Aomoto and Y. Kato, Connection coefficients for $A$-type Jackson integral and Yang-Baxter equation, submitted to Proc. AMS Summer School, 1992.
[AKM] K. Aomoto, Y. Kato, and K. Mimachi, A solution of the Yang-Baxter equation as connection coefficients of a holonomic $q$-difference system, Internat. Math. Res. Notices (1992), no. 1, 7–15.
Mathematical Reviews (MathSciNet): MR93d:39007
Zentralblatt MATH: 0765.39002
Digital Object Identifier: doi:10.1155/S1073792892000023
[FR] I. B. Frenkel and N. Y. Reshetikhin, Quantum affine algebras and holonomic difference equations, Comm. Math. Phys. 146 (1992), no. 1, 1–60.
Mathematical Reviews (MathSciNet): MR94c:17024
Zentralblatt MATH: 0760.17006
Digital Object Identifier: doi:10.1007/BF02099206
Project Euclid: euclid.cmp/1104249974
[Ma1] A. Matsuo, Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations, Comm. Math. Phys. 151 (1993), no. 2, 263–273.
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[Ma2] A. Matsuo, Quantum algebra structure of certain Jackson integrals, preprint, 1992.
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Project Euclid: euclid.cmp/1104254019
[Mi] K. Mimachi, Connection problem in holonomic $q$-difference system associated with a Jackson integral of Jordan-Pochhammer type, Nagoya Math. J. 116 (1989), 149–161.
Mathematical Reviews (MathSciNet): MR91b:33023
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[R] N. Y. Reshetikhin, Jackson type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system, preprint, 1992.
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[V] A. Varchenko, Quantum Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation and difference equations for $q$-hypergeometric functions, preprint, 1993.
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