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Found 77 Documents (Results 1–77)

On connection matrices of quantum Knizhnik-Zamolodchikov equations based on Lie super algebras. (English) Zbl 1409.17007

Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 155-193 (2018).
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Monodromy of the trigonometric Casimir connection for \(\mathfrak{sl}_2\). (English) Zbl 1336.17011

Berenstein, Arkady (ed.) et al., Noncommutative birational geometry, representations and combinatorics. Proceedings of the AMS special session on noncommutative birational geometry, representations and cluster algebras, Boston, MA, USA, January 6–7, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8980-0/pbk; 978-1-4704-0971-5/ebook). Contemporary Mathematics 592, 137-176 (2013).
MSC:  17B37 17B10 32G34
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Universal KZB equations: the elliptic case. (English) Zbl 1241.32011

Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Yu. I. Manin on the occasion of his 70th birthday. Vol. I. Boston, MA: Birkhäuser (ISBN 978-0-8176-4744-5/hbk; 978-0-8176-4745-2/ebook). Progress in Mathematics 269, 165-266 (2009).
MSC:  32G34 17B37 11F55
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On the Riemann-Hilbert correspondence for generalized Knizhnik-Zamolodchikov equations for different root systems. (English) Zbl 1356.17013

Bertrand, Daniel (ed.) et al., Differential equations and quantum groups. Andrey A. Bolibrukh memorial volume. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-020-5/pbk). IRMA Lectures in Mathematics and Theoretical Physics 9, 189-207 (2007).
MSC:  17B37 32G34
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Hecke-Tyurin parametrization of the Hitchin and KZB systems. (English) Zbl 1159.14017

Neretin, Yu. (ed.) et al., Moscow Seminar in mathematical physics, II. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4371-0/hbk). Translations. Series 2. American Mathematical Society 221. Advances in the Mathematical Sciences 60, 1-31 (2007).
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The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with \(U_q(\widehat{sl}_n)\) for \(|q|=1\). (English) Zbl 1029.17017

Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 315-327 (2000).
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On algebraic equations satisfied by hypergeometric solutions of the qKZ equation. (English) Zbl 1157.33329

Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society (ISBN 0-8218-2032-X/hbk). Transl., Ser. 2, Am. Math. Soc. 194(44), 189-209 (1999).
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Functorial properties of the hypergeometric map. (English) Zbl 0974.17015

Jing, Naihuan (ed.) et al., Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21-24, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 248, 395-418 (1999).
Reviewer: A.Klimyk (Kyïv)
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Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group \(E_{\tau,\eta}sl_2\). (English) Zbl 0942.39012

Bierstone, Edward (ed.) et al., The Arnoldfest. Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 24, 385-396 (1999).
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Affine Lie algebras and quantum groups. An introduction, with applications in conformal field theory. 1st paperback ed. with corrections, digital reprinting. (English) Zbl 0952.17016

Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press. xiv, 433 p. (1999).
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Quantization of geometry associated to the quantized Knizhnik-Zamolodchikov equations. (English) Zbl 1039.32505

Connes, A. (ed.) et al., Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. Amsterdam: North-Holland (ISBN 0-444-82867-2/hbk). 979-990 (1998).
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Zamolodchikov-Faddeev algebras for Yangian doubles at level 1. (English. Russian original) Zbl 0924.17013

Theor. Math. Phys. 110, No. 1, 18-34 (1997); translation from Teor. Mat. Fiz. 110, No. 1, 25-45 (1997).
MSC:  17B37 81R50 16W30
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Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors. (English) Zbl 0883.17021

Bolibruch, A. A. (ed.) et al., Mathematics in St. Petersburg. Based on a three-day conference, St. Petersburg, Russia, October 1993. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 174, 235-273 (1996).
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Solutions to the quantized Knizhnik-Zamolodchikov equation and the Bethe-Ansatz. (English) Zbl 0902.39002

Arima, A. (ed.) et al., Yamada conference XL. Proceedings of the XXth international colloquium on group theoretical methods in physics, Toyonaka, Japan, July 4-9, 1994. Singapore: World Scientific. 473-478 (1995).
MSC:  39A10 81R50
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Monodromy representations of conformal field theory and their applications. (English) Zbl 0894.57008

Fukaya, K. (ed.) et al., Topology, geometry and field theory. Proceedings of the 31st international symposium of the Division of Mathematics of the Taniguchi Foundation, Sanda, Japan, January 5-10, 1993 and the symposium on 3- and 4-dimensional manifolds and field theory, Kyoto, Japan, January 1993. Singapore: World Scientific. 67-78 (1994).
MSC:  57M25 32G34 17B37
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