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Found 238 Documents (Results 1–100)

Quasitriangular structures on the super-Yangian and quantum loop superalgebra, and difference equations. (English. Russian original) Zbl 1516.17016

Theor. Math. Phys. 213, No. 1, 1423-1440 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 129-148 (2022).
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Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models. (English. Russian original) Zbl 1467.81054

Theor. Math. Phys. 206, No. 1, 19-39 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 23-46 (2021).
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Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra. (English. Russian original) Zbl 1453.81040

Theor. Math. Phys. 204, No. 3, 1227-1243 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 466-484 (2020).
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Bethe vectors for orthogonal integrable models. (English. Russian original) Zbl 1441.81106

Theor. Math. Phys. 201, No. 2, 1545-1564 (2019); translation from Teor. Mat. Fiz. 201, No. 2, 153-174 (2019).
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Isomorphism of the Yangian \(Y_{\hbar}(A(m, n))\) of the special linear Lie superalgebra and the quantum loop superalgebra \(U_{\hbar}(LA(m, n))\). (English. Russian original) Zbl 1429.17017

Theor. Math. Phys. 198, No. 1, 129-144 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 145-161 (2019).
MSC:  17B37 17B10 81T40
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From reflection equation algebra to braided Yangians. (English) Zbl 1423.81108

Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 107-129 (2018).
MSC:  81R50 81R12 16T25 17B37 20F55 18D10 17B81
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Sugawara operators for classical Lie algebras. (English) Zbl 1395.17001

Mathematical Surveys and Monographs 229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3659-9/hbk; 978-1-4704-4391-7/ebook). xiv, 304 p. (2018).
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Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. (English. Russian original) Zbl 1362.82013

Theor. Math. Phys. 189, No. 2, 1529-1553 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 149-175 (2016).
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Yangian characters and classical \(\mathcal W\)-algebras. (English) Zbl 1329.17025

Kohnen, Winfried (ed.) et al., Conformal field theory, automorphic forms and related topics. CFT 2011, Heidelberg, Germany, September 19–23, 2011. Berlin: Springer (ISBN 978-3-662-43830-5/hbk; 978-3-662-43831-2/ebook). Contributions in Mathematical and Computational Sciences 8, 287-334 (2014).
MSC:  17B67 17B68 17B10
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On Kostant’s theorem for Lie superalgebras. (English) Zbl 1344.17012

Gorelik, Maria (ed.) et al., Advances in Lie superalgebras. Proceedings of the conference ‘Lie superalgebras’, Rome, Italy, December 14–19, 2012. Cham: Springer (ISBN 978-3-319-02951-1/hbk; 978-3-319-02952-8/ebook). Springer INdAM Series 7, 167-179 (2014).
MSC:  17B35 17B08
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Representations of the Yangian of a Lie superalgebra of type \(A(m,n)\). (English. Russian original) Zbl 1303.17013

Izv. Math. 77, No. 5, 1021-1043 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 179-202 (2013).
MSC:  17B10 17B37
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Quiver varieties and tensor products. II. (English) Zbl 1309.17010

Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 403-428 (2013).
MSC:  17B37 17B67 14F05
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Sticky shuffle product Hopf algebras and their stochastic representations. (English) Zbl 1266.81123

Zhao, Huaizhong (ed.) et al., New trends in stochastic analysis and related topics. A volume in honor Professor K. D. Elworthy. Hackensack, NJ: World Scientific (ISBN 978-981-4360-91-3/hbk; 978-981-4360-92-0/ebook). Interdisciplinary Mathematical Sciences 12, 165-181 (2012).
MSC:  81S25 16T05
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