Chen, Heng-Yu; Kimura, Taro; Lee, Norton Quantum integrable systems from supergroup gauge theories. (English) Zbl 07313035 J. High Energy Phys. 2020, No. 9, Paper No. 104, 44 p. (2020). MSC: 81T30 81R10 81R12 81T60 PDF BibTeX XML Cite \textit{H.-Y. Chen} et al., J. High Energy Phys. 2020, No. 9, Paper No. 104, 44 p. (2020; Zbl 07313035) Full Text: DOI arXiv
Zhang, Huafeng Yangians and Baxter’s relations. (English) Zbl 07239423 Lett. Math. Phys. 110, No. 8, 2113-2141 (2020). MSC: 17B37 17B10 17B80 PDF BibTeX XML Cite \textit{H. Zhang}, Lett. Math. Phys. 110, No. 8, 2113--2141 (2020; Zbl 07239423) Full Text: DOI
Galashin, Pavel; Pylyavskyy, Pavlo Quivers with subadditive labelings: classification and integrability. (English) Zbl 1451.13067 Math. Z. 295, No. 3-4, 945-992 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 37K10 05E99 PDF BibTeX XML Cite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Math. Z. 295, No. 3--4, 945--992 (2020; Zbl 1451.13067) Full Text: DOI
Galashin, Pavel; Pylyavskyy, Pavlo Quivers with additive labelings: classification and algebraic entropy. (English) Zbl 1442.13067 Doc. Math. 24, 2057-2135 (2019). MSC: 13F60 37K10 05E40 PDF BibTeX XML Cite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Doc. Math. 24, 2057--2135 (2019; Zbl 1442.13067) Full Text: DOI arXiv
Elliott, Chris; Pestun, Vasily Multiplicative Hitchin systems and supersymmetric gauge theory. (English) Zbl 1423.14081 Sel. Math., New Ser. 25, No. 4, Paper No. 64, 82 p. (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D21 53D30 17B37 53C07 81T60 81T13 14F05 PDF BibTeX XML Cite \textit{C. Elliott} and \textit{V. Pestun}, Sel. Math., New Ser. 25, No. 4, Paper No. 64, 82 p. (2019; Zbl 1423.14081) Full Text: DOI arXiv
Bourgine, Jean-Emile; Fioravanti, Davide Quantum integrability of \( \mathcal{N}=2 \) 4d gauge theories. (English) Zbl 1396.81110 J. High Energy Phys. 2018, No. 8, Paper No. 125, 25 p. (2018). MSC: 81R12 81T25 81T60 81T13 PDF BibTeX XML Cite \textit{J.-E. Bourgine} and \textit{D. Fioravanti}, J. High Energy Phys. 2018, No. 8, Paper No. 125, 25 p. (2018; Zbl 1396.81110) Full Text: DOI arXiv
Bourgine, Jean-Emile; Fioravanti, Davide Seiberg-Witten period relations in Omega background. (English) Zbl 1396.81193 J. High Energy Phys. 2018, No. 8, Paper No. 124, 22 p. (2018). MSC: 81T60 81R12 PDF BibTeX XML Cite \textit{J.-E. Bourgine} and \textit{D. Fioravanti}, J. High Energy Phys. 2018, No. 8, Paper No. 124, 22 p. (2018; Zbl 1396.81193) Full Text: DOI arXiv
Zhang, Huafeng Elliptic quantum groups and Baxter relations. (English) Zbl 1422.17021 Algebra Number Theory 12, No. 3, 599-647 (2018). MSC: 17B37 17B10 17B80 PDF BibTeX XML Cite \textit{H. Zhang}, Algebra Number Theory 12, No. 3, 599--647 (2018; Zbl 1422.17021) Full Text: DOI
Nekrasov, Nikita; Pestun, Vasily; Shatashvili, Samson Quantum geometry and quiver gauge theories. (English) Zbl 1393.81033 Commun. Math. Phys. 357, No. 2, 519-567 (2018). Reviewer: Gabor Etesi (Budapest) MSC: 81T60 81T13 16G20 83E15 81R10 PDF BibTeX XML Cite \textit{N. Nekrasov} et al., Commun. Math. Phys. 357, No. 2, 519--567 (2018; Zbl 1393.81033) Full Text: DOI arXiv
Bourgine, J.-E.; Fukuda, M.; Harada, K.; Matsuo, Y.; Zhu, R.-D. \((p,q)\)-webs of DIM representations, 5d \(\;\mathcal{N}=1 \) instanton partition functions and qq-characters. (English) Zbl 1383.83156 J. High Energy Phys. 2017, No. 11, Paper No. 34, 51 p. (2017). MSC: 83E30 81T60 81T30 81T45 81T13 PDF BibTeX XML Cite \textit{J. E. Bourgine} et al., J. High Energy Phys. 2017, No. 11, Paper No. 34, 51 p. (2017; Zbl 1383.83156) Full Text: DOI
Felder, Giovanni; Zhang, Huafeng Baxter operators and asymptotic representations. (English) Zbl 1407.17017 Sel. Math., New Ser. 23, No. 4, 2947-2975 (2017). MSC: 17B37 17B10 81R12 PDF BibTeX XML Cite \textit{G. Felder} and \textit{H. Zhang}, Sel. Math., New Ser. 23, No. 4, 2947--2975 (2017; Zbl 1407.17017) Full Text: DOI
Brito, Matheus; Mukhin, Evgeny Representations of quantum affine algebras of type \(B_N\). (English) Zbl 1415.17014 Trans. Am. Math. Soc. 369, No. 4, 2775-2806 (2017). MSC: 17B37 05E10 17B10 17B67 PDF BibTeX XML Cite \textit{M. Brito} and \textit{E. Mukhin}, Trans. Am. Math. Soc. 369, No. 4, 2775--2806 (2017; Zbl 1415.17014) Full Text: DOI arXiv
Nekrasov, Nikita BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters. (English) Zbl 1388.81872 J. High Energy Phys. 2016, No. 3, Paper No. 181, 70 p. (2016). MSC: 81T60 PDF BibTeX XML Cite \textit{N. Nekrasov}, J. High Energy Phys. 2016, No. 3, Paper No. 181, 70 p. (2016; Zbl 1388.81872) Full Text: DOI arXiv
Gautam, Sachin; Toledano Laredo, Valerio Yangians, quantum loop algebras, and abelian difference equations. (English) Zbl 1336.17012 J. Am. Math. Soc. 29, No. 3, 775-824 (2016). MSC: 17B37 17B67 39A10 32G34 PDF BibTeX XML Cite \textit{S. Gautam} and \textit{V. Toledano Laredo}, J. Am. Math. Soc. 29, No. 3, 775--824 (2016; Zbl 1336.17012) Full Text: DOI
Young, Charles Quantum loop algebras and \(\ell\)-root operators. (English) Zbl 1359.17038 Transform. Groups 20, No. 4, 1195-1226 (2015). MSC: 17B67 17B10 17B37 PDF BibTeX XML Cite \textit{C. Young}, Transform. Groups 20, No. 4, 1195--1226 (2015; Zbl 1359.17038) Full Text: DOI
Zegers, R. \(q\), \(t\)-characters and the structure of the \(\ell\)-weight spaces of standard modules over simply laced quantum affine algebras. (English) Zbl 1394.17053 Transform. Groups 20, No. 2, 573-613 (2015). MSC: 17B67 17B10 17B37 PDF BibTeX XML Cite \textit{R. Zegers}, Transform. Groups 20, No. 2, 573--613 (2015; Zbl 1394.17053) Full Text: DOI arXiv
Mukhin, E.; Young, C. A. S. Affinization of category \(\mathcal{O}\) for quantum groups. (English) Zbl 1306.17005 Trans. Am. Math. Soc. 366, No. 9, 4815-4847 (2014). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{E. Mukhin} and \textit{C. A. S. Young}, Trans. Am. Math. Soc. 366, No. 9, 4815--4847 (2014; Zbl 1306.17005) Full Text: DOI
Nakajima, Hiraku Quiver varieties and cluster algebras. (English) Zbl 1223.13013 Kyoto J. Math. 51, No. 1, 71-126 (2011). Reviewer: Sean Lawton (Edinburg) MSC: 13F60 16G20 14D21 17B37 PDF BibTeX XML Cite \textit{H. Nakajima}, Kyoto J. Math. 51, No. 1, 71--126 (2011; Zbl 1223.13013) Full Text: DOI arXiv
Young, C. A. S.; Zegers, R. Dorey’s rule and the \(q\)-characters of simply-laced quantum affine algebras. (English) Zbl 1229.17021 Commun. Math. Phys. 302, No. 3, 789-813 (2011). Reviewer: Gastón Andrés García (Córdoba) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{C. A. S. Young} and \textit{R. Zegers}, Commun. Math. Phys. 302, No. 3, 789--813 (2011; Zbl 1229.17021) Full Text: DOI arXiv
Inoue, Rei; Iyama, Osamu; Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji Periodicities of \(T\)-systems and \(Y\)-systems. (English) Zbl 1250.17024 Nagoya Math. J. 197, 59-174 (2010). Reviewer: Nenad Manojlović (Faro) MSC: 17B37 16T20 13F60 81R12 81R50 82B23 PDF BibTeX XML Cite \textit{R. Inoue} et al., Nagoya Math. J. 197, 59--174 (2010; Zbl 1250.17024) Full Text: DOI arXiv
Hernandez, David On minimal affinizations of representations of quantum groups. (English) Zbl 1141.17011 Commun. Math. Phys. 276, No. 1, 221-259 (2007). Reviewer: Tomasz Brzeziński (Swansea) MSC: 17B37 17B10 46L87 PDF BibTeX XML Cite \textit{D. Hernandez}, Commun. Math. Phys. 276, No. 1, 221--259 (2007; Zbl 1141.17011) Full Text: DOI arXiv
Hernandez, David; Nakajima, Hiraku Level 0 monomial crystals. (English) Zbl 1201.17008 Nagoya Math. J. 184, 85-153 (2006). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 PDF BibTeX XML Cite \textit{D. Hernandez} and \textit{H. Nakajima}, Nagoya Math. J. 184, 85--153 (2006; Zbl 1201.17008) Full Text: DOI Euclid arXiv
Hopkins, Mark J.; Molev, A. I. On the skew representations of the quantum affine algebra. (English) Zbl 1109.17005 Czech. J. Phys. 56, No. 10-11, 1179-1184 (2006). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{M. J. Hopkins} and \textit{A. I. Molev}, Czech. J. Phys. 56, No. 10--11, 1179--1184 (2006; Zbl 1109.17005) Full Text: DOI
Hernandez, David The Kirillov-Reshetikhin conjecture and solutions of \(T\)-systems. (English) Zbl 1160.17010 J. Reine Angew. Math. 596, 63-87 (2006). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, J. Reine Angew. Math. 596, 63--87 (2006; Zbl 1160.17010) Full Text: DOI arXiv
Hernandez, David Monomials of \(q\) and \(q,t\)-characters for non simply-laced quantum affinizations. (English) Zbl 1098.17010 Math. Z. 250, No. 2, 443-473 (2005). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, Math. Z. 250, No. 2, 443--473 (2005; Zbl 1098.17010) Full Text: DOI arXiv
Hernandez, David The \(t\)-analogs of \(q\)-characters at roots of unity for quantum affine algebras and beyond. (English) Zbl 1127.17015 J. Algebra 279, No. 2, 514-557 (2004). MSC: 17B37 PDF BibTeX XML Cite \textit{D. Hernandez}, J. Algebra 279, No. 2, 514--557 (2004; Zbl 1127.17015) Full Text: DOI
Molev, A. I. Yangians and their applications. (English) Zbl 1086.17008 Hazewinkel, M. (ed.), Handbook of algebra. Volume 3. Amsterdam: Elsevier (ISBN 0-444-51264-0/hbk). 907-959 (2003). Reviewer: Bodo Pareigis (München) MSC: 17B37 16W30 17-02 16-02 PDF BibTeX XML Cite \textit{A. I. Molev}, in: Handbook of algebra. Volume 3. Amsterdam: Elsevier. 907--959 (2003; Zbl 1086.17008) Full Text: arXiv
Nakajima, Hiraku \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. (English) Zbl 1078.17008 Represent. Theory 7, 259-274 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 81R50 82B23 PDF BibTeX XML Cite \textit{H. Nakajima}, Represent. Theory 7, 259--274 (2003; Zbl 1078.17008) Full Text: DOI arXiv
Kuniba, Atsuo; Nakanishi, Tomoki The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. II: The \(X_n\) case. (English) Zbl 1052.17006 J. Algebra 251, No. 2, 577-618 (2002). MSC: 17B37 81R50 82B23 PDF BibTeX XML Cite \textit{A. Kuniba} and \textit{T. Nakanishi}, J. Algebra 251, No. 2, 577--618 (2002; Zbl 1052.17006) Full Text: DOI arXiv