Inoue, Rei Cluster realization of Weyl groups and \(q\)-characters of quantum affine algebras. (English) Zbl 07305722 Lett. Math. Phys. 111, No. 1, Paper No. 4, 32 p. (2021). MSC: 13F60 17B22 20G42 PDF BibTeX XML Cite \textit{R. Inoue}, Lett. Math. Phys. 111, No. 1, Paper No. 4, 32 p. (2021; Zbl 07305722) Full Text: DOI
Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \((\text{SL}(N), q)\)-opers, the \(q\)-Langlands correspondence, and quantum/classical duality. (English) Zbl 07303883 Commun. Math. Phys. 381, No. 2, 641-672 (2021). MSC: 82B23 82B20 14D24 81R12 22E57 PDF BibTeX XML Cite \textit{P. Koroteev} et al., Commun. Math. Phys. 381, No. 2, 641--672 (2021; Zbl 07303883) Full Text: DOI
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
Haouzi, Nathan Quantum geometry and \(\theta\)-angle in five-dimensional super Yang-Mills. (English) Zbl 07312966 J. High Energy Phys. 2020, No. 9, Paper No. 35, 32 p. (2020). MSC: 81T60 70S15 58J28 PDF BibTeX XML Cite \textit{N. Haouzi}, J. High Energy Phys. 2020, No. 9, Paper No. 35, 32 p. (2020; Zbl 07312966) Full Text: DOI arXiv
Gunawan, Emily; Scrimshaw, Travis Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials. (English) Zbl 1452.17018 Algebr. Represent. Theory 23, No. 4, 1-27 (2020). Reviewer: Daniel Orr (Blacksburg) MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{E. Gunawan} and \textit{T. Scrimshaw}, Algebr. Represent. Theory 23, No. 4, 1--27 (2020; Zbl 1452.17018) Full Text: DOI
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
Bourgine, Jean-Emile; Jeong, Saebyeok New quantum toroidal algebras from 5D \(\mathcal{N} = 1\) instantons on orbifolds. (English) Zbl 1437.81055 J. High Energy Phys. 2020, No. 5, Paper No. 127, 52 p. (2020). MSC: 81T16 81R10 PDF BibTeX XML Cite \textit{J.-E. Bourgine} and \textit{S. Jeong}, J. High Energy Phys. 2020, No. 5, Paper No. 127, 52 p. (2020; Zbl 1437.81055) Full Text: DOI arXiv
Scrimshaw, Travis Uniform description of the rigged configuration bijection. (English) Zbl 1442.05244 Sel. Math., New Ser. 26, No. 3, Paper No. 42, 84 p. (2020). MSC: 05E10 17B37 05A19 81R50 82B23 PDF BibTeX XML Cite \textit{T. Scrimshaw}, Sel. Math., New Ser. 26, No. 3, Paper No. 42, 84 p. (2020; Zbl 1442.05244) Full Text: DOI
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong Monoidal categorification and quantum affine algebras. (English) Zbl 07206132 Compos. Math. 156, No. 5, 1039-1077 (2020). MSC: 17B37 13F60 18D10 PDF BibTeX XML Cite \textit{M. Kashiwara} et al., Compos. Math. 156, No. 5, 1039--1077 (2020; Zbl 07206132) Full Text: DOI
Jing, Naihuan; Liu, Ming; Molev, Alexander Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: type \(C\). (English) Zbl 1439.81062 J. Math. Phys. 61, No. 3, 031701, 41 p. (2020). MSC: 81R50 17B37 16T25 PDF BibTeX XML Cite \textit{N. Jing} et al., J. Math. Phys. 61, No. 3, 031701, 41 p. (2020; Zbl 1439.81062) Full Text: DOI
Pushkar, Petr P.; Smirnov, Andrey V.; Zeitlin, Anton M. Baxter \(Q\)-operator from quantum \(K\)-theory. (English) Zbl 1447.82012 Adv. Math. 360, Article ID 106919, 63 p. (2020). MSC: 82B23 82B20 81R50 16T25 82D40 81R12 19E99 PDF BibTeX XML Cite \textit{P. P. Pushkar} et al., Adv. Math. 360, Article ID 106919, 63 p. (2020; Zbl 1447.82012) Full Text: DOI
Bittmann, Léa Asymptotics of standard modules of quantum affine algebras. (English) Zbl 07144052 Algebr. Represent. Theory 22, No. 5, 1209-1237 (2019). MSC: 17B37 17B10 16T20 PDF BibTeX XML Cite \textit{L. Bittmann}, Algebr. Represent. Theory 22, No. 5, 1209--1237 (2019; Zbl 07144052) Full Text: DOI arXiv
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
Kashiwara, Masaki; Oh, Se-jin Categorical relations between Langlands dual quantum affine algebras: doubly laced types. (English) Zbl 07082926 J. Algebr. Comb. 49, No. 4, 401-435 (2019). MSC: 17B 16E PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{S.-j. Oh}, J. Algebr. Comb. 49, No. 4, 401--435 (2019; Zbl 07082926) Full Text: DOI arXiv
Nekrasov, Nikita Superspin chains and supersymmetric gauge theories. (English) Zbl 1414.81247 J. High Energy Phys. 2019, No. 3, Paper No. 102, 17 p. (2019). MSC: 81T60 81T45 17B45 70S15 81R12 PDF BibTeX XML Cite \textit{N. Nekrasov}, J. High Energy Phys. 2019, No. 3, Paper No. 102, 17 p. (2019; Zbl 1414.81247) Full Text: DOI arXiv
Oh, Se-jin; Scrimshaw, Travis Categorical relations between Langlands dual quantum affine algebras: exceptional cases. (English) Zbl 1439.81063 Commun. Math. Phys. 368, No. 1, 295-367 (2019); correction ibid. 371, No. 2, 833-837 (2019). Reviewer: Daniel Bulacu (Bucharest) MSC: 81R50 17B81 20C08 16G20 PDF BibTeX XML Cite \textit{S.-j. Oh} and \textit{T. Scrimshaw}, Commun. Math. Phys. 368, No. 1, 295--367 (2019; Zbl 1439.81063) Full Text: DOI
Hernandez, David; Oya, Hironori Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm. (English) Zbl 1448.17019 Adv. Math. 347, 192-272 (2019). MSC: 17B37 17B67 17B10 13F60 PDF BibTeX XML Cite \textit{D. Hernandez} and \textit{H. Oya}, Adv. Math. 347, 192--272 (2019; Zbl 1448.17019) Full Text: DOI
Nekrasov, Nikita BPS/CFT correspondence. IV: Sigma models and defects in gauge theory. (English) Zbl 1411.81213 Lett. Math. Phys. 109, No. 3, 579-622 (2019). MSC: 81T60 81T13 81T45 81T30 PDF BibTeX XML Cite \textit{N. Nekrasov}, Lett. Math. Phys. 109, No. 3, 579--622 (2019; Zbl 1411.81213) Full Text: DOI
Hernandez, David Cyclicity and \(R\)-matrices. (English) Zbl 07031140 Sel. Math., New Ser. 25, No. 2, Paper No. 19, 24 p. (2019). MSC: 17B37 17B10 81R50 PDF BibTeX XML Cite \textit{D. Hernandez}, Sel. Math., New Ser. 25, No. 2, Paper No. 19, 24 p. (2019; Zbl 07031140) Full Text: DOI arXiv
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). (English) Zbl 07015002 Proc. Lond. Math. Soc. (3) 118, No. 1, 43-77 (2019). MSC: 17B37 16T25 18M05 PDF BibTeX XML Cite \textit{M. Kashiwara} et al., Proc. Lond. Math. Soc. (3) 118, No. 1, 43--77 (2019; Zbl 07015002) Full Text: DOI arXiv
Moura, A.; Pereira, F. On tensor products of a minimal affinization with an extreme Kirillov-Reshetikhin module for type \(A\). (English) Zbl 06991406 Transform. Groups 23, No. 4, 989-1044 (2018). MSC: 17B PDF BibTeX XML Cite \textit{A. Moura} and \textit{F. Pereira}, Transform. Groups 23, No. 4, 989--1044 (2018; Zbl 06991406) Full Text: DOI
Kuniba, Atsuo; Lyu, Hanbaek; Okado, Masato Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. (English) Zbl 1402.82019 Nucl. Phys., B 937, 240-271 (2018). MSC: 82D25 20H15 82B23 82B30 82B31 PDF BibTeX XML Cite \textit{A. Kuniba} et al., Nucl. Phys., B 937, 240--271 (2018; Zbl 1402.82019) Full Text: DOI
Kimura, Taro; Pestun, Vasily Fractional quiver W-algebras. (English) Zbl 1402.81245 Lett. Math. Phys. 108, No. 11, 2425-2451 (2018). MSC: 81T60 81R10 14D21 81R50 PDF BibTeX XML Cite \textit{T. Kimura} and \textit{V. Pestun}, Lett. Math. Phys. 108, No. 11, 2425--2451 (2018; Zbl 1402.81245) Full Text: DOI
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
Chen, Heng-Yu; Kimura, Taro Quantum integrability from non-simply laced quiver gauge theory. (English) Zbl 1395.81263 J. High Energy Phys. 2018, No. 6, Paper No. 165, 31 p. (2018). MSC: 81T60 81R12 PDF BibTeX XML Cite \textit{H.-Y. Chen} and \textit{T. Kimura}, J. High Energy Phys. 2018, No. 6, Paper No. 165, 31 p. (2018; Zbl 1395.81263) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers. (English) Zbl 1397.81060 Commun. Math. Phys. 362, No. 2, 361-414 (2018). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{E. Frenkel} and \textit{D. Hernandez}, Commun. Math. Phys. 362, No. 2, 361--414 (2018; Zbl 1397.81060) Full Text: DOI arXiv
Ikeda, Kazuki Hofstadter’s butterfly and Langlands duality. (English) Zbl 06904278 J. Math. Phys. 59, No. 6, 061704, 6 p. (2018). MSC: 82B20 81R05 17B37 20G42 81V70 PDF BibTeX XML Cite \textit{K. Ikeda}, J. Math. Phys. 59, No. 6, 061704, 6 p. (2018; Zbl 06904278) Full Text: DOI
Kimura, Taro; Pestun, Vasily Quiver elliptic W-algebras. (English) Zbl 1388.81851 Lett. Math. Phys. 108, No. 6, 1383-1405 (2018). MSC: 81T60 81R10 14D21 81R50 16G20 PDF BibTeX XML Cite \textit{T. Kimura} and \textit{V. Pestun}, Lett. Math. Phys. 108, No. 6, 1383--1405 (2018; Zbl 1388.81851) Full Text: DOI
Kimura, Taro; Pestun, Vasily Quiver W-algebras. (English) Zbl 1388.81850 Lett. Math. Phys. 108, No. 6, 1351-1381 (2018). MSC: 81T60 81R10 14D21 81R50 16G20 PDF BibTeX XML Cite \textit{T. Kimura} and \textit{V. Pestun}, Lett. Math. Phys. 108, No. 6, 1351--1381 (2018; Zbl 1388.81850) Full Text: DOI
Kimura, Taro; Mori, Hironori; Sugimoto, Yuji Refined geometric transition and \(qq\)-characters. (English) Zbl 1384.83060 J. High Energy Phys. 2018, No. 1, Paper No. 25, 41 p. (2018). MSC: 83E30 81T45 PDF BibTeX XML Cite \textit{T. Kimura} et al., J. High Energy Phys. 2018, No. 1, Paper No. 25, 41 p. (2018; Zbl 1384.83060) Full Text: DOI
Zhang, Huafeng Length-two representations of quantum affine superalgebras and Baxter operators. (English) Zbl 1409.17009 Commun. Math. Phys. 358, No. 2, 815-862 (2018). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{H. Zhang}, Commun. Math. Phys. 358, No. 2, 815--862 (2018; Zbl 1409.17009) 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
Pestun, Vasily Algebraic structures on the moduli spaces in gauge theories. (English) Zbl 1390.81342 Duarte, Sergio (ed.) et al., Physical and mathematical aspects of symmetries. Proceedings of the 31st international colloquium in group theoretical methods in physics, Rio de Janeiro, Brazil, June 19–25, 2016. Cham: Springer (ISBN 978-3-319-69163-3/hbk; 978-3-319-69164-0/ebook). 41-50 (2017). MSC: 81T13 81T60 81R12 81T40 81R50 14D21 17B37 PDF BibTeX XML Cite \textit{V. Pestun}, in: Physical and mathematical aspects of symmetries. Proceedings of the 31st international colloquium in group theoretical methods in physics, Rio de Janeiro, Brazil, June 19--25, 2016. Cham: Springer. 41--50 (2017; Zbl 1390.81342) Full Text: DOI
Gunawan, Emily; Scrimshaw, Travis Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials. (English) Zbl 1390.17024 Sémin. Lothar. Comb. 78B, 78B.47, 12 p. (2017). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{E. Gunawan} and \textit{T. Scrimshaw}, Sémin. Lothar. Comb. 78B, 78B.47, 12 p. (2017; Zbl 1390.17024) Full Text: Link
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
Molev, A. I.; Mukhin, E. E. Eigenvalues of Bethe vectors in the Gaudin model. (English. Russian original) Zbl 1382.81100 Theor. Math. Phys. 192, No. 3, 1258-1281 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 369-394 (2017). MSC: 81Q10 81Q40 17B69 35P05 PDF BibTeX XML Cite \textit{A. I. Molev} and \textit{E. E. Mukhin}, Theor. Math. Phys. 192, No. 3, 1258--1281 (2017; Zbl 1382.81100); translation from Teor. Mat. Fiz. 192, No. 3, 369--394 (2017) Full Text: DOI arXiv
Zhang, Huafeng Asymptotic representations of quantum affine superalgebras. (English) Zbl 1420.17017 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 066, 25 p. (2017). MSC: 17B37 17B10 81R50 PDF BibTeX XML Cite \textit{H. Zhang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 066, 25 p. (2017; Zbl 1420.17017) Full Text: DOI arXiv
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
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\). (English) Zbl 1425.17020 Commun. Math. Phys. 356, No. 1, 285-327 (2017). MSC: 17B37 22E40 81R10 PDF BibTeX XML Cite \textit{B. Feigin} et al., Commun. Math. Phys. 356, No. 1, 285--327 (2017; Zbl 1425.17020) Full Text: DOI
Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene Finite type modules and Bethe ansatz equations. (English) Zbl 1407.82019 Ann. Henri Poincaré 18, No. 8, 2543-2579 (2017). MSC: 82B20 82B23 17B37 PDF BibTeX XML Cite \textit{B. Feigin} et al., Ann. Henri Poincaré 18, No. 8, 2543--2579 (2017; Zbl 1407.82019) Full Text: DOI
Lee, Chul-hee Positivity and periodicity of \(Q\)-systems in the WZW fusion ring. (English) Zbl 1403.17026 Adv. Math. 311, 532-568 (2017). Reviewer: Robert McRae (Nashville) MSC: 17B67 17B37 18D10 81R10 81R50 PDF BibTeX XML Cite \textit{C.-h. Lee}, Adv. Math. 311, 532--568 (2017; Zbl 1403.17026) Full Text: DOI
Di Francesco, Philippe; Kedem, Rinat; Turmunkh, Bolor A path model for Whittaker vectors. (English) Zbl 1370.81090 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017). MSC: 81R12 37K10 22E47 33C15 17B20 17B67 17B37 81R50 PDF BibTeX XML Cite \textit{P. Di Francesco} et al., J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017; Zbl 1370.81090) Full Text: DOI
Nirov, Khazret S.; Razumov, Alexander V. Highest \(\ell\)-weight representations and functional relations. (English) Zbl 1419.17022 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 043, 31 p. (2017). MSC: 17B37 16T25 17B10 PDF BibTeX XML Cite \textit{K. S. Nirov} and \textit{A. V. Razumov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 043, 31 p. (2017; Zbl 1419.17022) Full Text: DOI arXiv
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
Mironov, A.; Morozov, A.; Zenkevich, Y. Ding-Iohara-Miki symmetry of network matrix models. (English) Zbl 1390.81216 Phys. Lett., B 762, 196-208 (2016). MSC: 81R10 81T10 17B37 17B68 17B81 PDF BibTeX XML Cite \textit{A. Mironov} et al., Phys. Lett., B 762, 196--208 (2016; Zbl 1390.81216) Full Text: DOI
Li, Jian-Rong; Naoi, Katsuyuki Graded limits of minimal affinizations over the quantum loop algebra of type \(G_{2}\). (English) Zbl 1405.17032 Algebr. Represent. Theory 19, No. 4, 957-973 (2016). MSC: 17B37 17B10 17B67 PDF BibTeX XML Cite \textit{J.-R. Li} and \textit{K. Naoi}, Algebr. Represent. Theory 19, No. 4, 957--973 (2016; Zbl 1405.17032) Full Text: DOI arXiv
Frappat, Luc; Jing, Naihuan; Molev, Alexander; Ragoucy, Eric Higher Sugawara operators for the quantum affine algebras of type \(A\). (English) Zbl 1395.17049 Commun. Math. Phys. 345, No. 2, 631-657 (2016). MSC: 17B67 17B37 PDF BibTeX XML Cite \textit{L. Frappat} et al., Commun. Math. Phys. 345, No. 2, 631--657 (2016; Zbl 1395.17049) Full Text: DOI arXiv
Oh, Se-jin Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality. (English) Zbl 1338.05274 J. Algebra 460, 203-252 (2016). MSC: 05E10 16T30 17B37 81R50 PDF BibTeX XML Cite \textit{S.-j. Oh}, J. Algebra 460, 203--252 (2016; Zbl 1338.05274) Full Text: DOI arXiv
Gleitz, Anne-Sophie Representations of \(U_q(L\mathfrak{sl}_2)\) at roots of unity and generalised cluster algebras. (English) Zbl 1339.05422 Eur. J. Comb. 57, 94-108 (2016). MSC: 05E10 PDF BibTeX XML Cite \textit{A.-S. Gleitz}, Eur. J. Comb. 57, 94--108 (2016; Zbl 1339.05422) Full Text: DOI
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
Jing, Naihuan; Zhang, Honglian On finite-dimensional representations of two-parameter quantum affine algebras. (English) Zbl 1405.17029 J. Algebra Appl. 15, No. 3, Article ID 1650054, 16 p. (2016). MSC: 17B37 17B67 17B10 PDF BibTeX XML Cite \textit{N. Jing} and \textit{H. Zhang}, J. Algebra Appl. 15, No. 3, Article ID 1650054, 16 p. (2016; Zbl 1405.17029) Full Text: DOI arXiv
Mansuy, Mathieu Extremal loop weight modules for \(\mathcal {U}_q(\widehat{sl}_{\infty})\). (English) Zbl 1397.17019 Algebr. Represent. Theory 18, No. 6, 1505-1532 (2015). MSC: 17B37 17B67 05E10 PDF BibTeX XML Cite \textit{M. Mansuy}, Algebr. Represent. Theory 18, No. 6, 1505--1532 (2015; Zbl 1397.17019) Full Text: DOI
Oh, Se-jin The denominators of normalized \(R\)-matrices of types \(A_{2n-1}^{(2)}\), \(A_{2n}^{(2)}\), \(B_{n}^{(1)}\) and \(D_{n+1}^{(2)}\). (English) Zbl 1337.81080 Publ. Res. Inst. Math. Sci. 51, No. 4, 709-744 (2015). Reviewer: Ming Ding (Tianjin) MSC: 81R50 16T25 17B37 PDF BibTeX XML Cite \textit{S.-j. Oh}, Publ. Res. Inst. Math. Sci. 51, No. 4, 709--744 (2015; Zbl 1337.81080) Full Text: DOI arXiv
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
Frenkel, Edward; Hernandez, David Baxter’s relations and spectra of quantum integrable models. (English) Zbl 1332.82022 Duke Math. J. 164, No. 12, 2407-2460 (2015). MSC: 82B23 81R50 17B37 PDF BibTeX XML Cite \textit{E. Frenkel} and \textit{D. Hernandez}, Duke Math. J. 164, No. 12, 2407--2460 (2015; Zbl 1332.82022) Full Text: DOI Euclid arXiv
Zhang, Huafeng Universal \(R\)-matrix of quantum affine \(\mathfrak{gl}(1,1)\). (English) Zbl 1395.17031 Lett. Math. Phys. 105, No. 11, 1587-1603 (2015). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{H. Zhang}, Lett. Math. Phys. 105, No. 11, 1587--1603 (2015; Zbl 1395.17031) Full Text: DOI arXiv
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
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. (English) Zbl 1323.81046 Duke Math. J. 164, No. 8, 1549-1602 (2015). Reviewer: Hu Jun (Beijing) MSC: 17B37 20C08 17B67 17B10 PDF BibTeX XML Cite \textit{S.-J. Kang} et al., Duke Math. J. 164, No. 8, 1549--1602 (2015; Zbl 1323.81046) Full Text: DOI Euclid arXiv
Kedem, Rinat; Vichitkunakorn, Panupong \(T\)-systems and the pentagram map. (English) Zbl 1306.37062 J. Geom. Phys. 87, 233-247 (2015). MSC: 37J35 37K20 13F60 51M20 14N05 PDF BibTeX XML Cite \textit{R. Kedem} and \textit{P. Vichitkunakorn}, J. Geom. Phys. 87, 233--247 (2015; Zbl 1306.37062) Full Text: DOI arXiv
Bücher, David; Runkel, Ingo Integrable perturbations of conformal field theories and Yetter-Drinfeld modules. (English) Zbl 1442.81058 J. Math. Phys. 55, No. 11, 111705, 49 p. (2014). MSC: 81T40 81T15 81R05 81R50 11G09 16T05 PDF BibTeX XML Cite \textit{D. Bücher} and \textit{I. Runkel}, J. Math. Phys. 55, No. 11, 111705, 49 p. (2014; Zbl 1442.81058) 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
Ip, Ivan Chi-Ho; Zeitlin, Anton M. Q-operator and fusion relations for \(U_q(C^{(2)}(2))\). (English) Zbl 1331.17012 Lett. Math. Phys. 104, No. 8, 1019-1043 (2014). MSC: 17B37 17B67 17B80 PDF BibTeX XML Cite \textit{I. C. H. Ip} and \textit{A. M. Zeitlin}, Lett. Math. Phys. 104, No. 8, 1019--1043 (2014; Zbl 1331.17012) Full Text: DOI arXiv
Alexandrov, Alexander; Kazakov, Vladimir; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton Classical tau-function for quantum spin chains. (English) Zbl 1342.81179 J. High Energy Phys. 2013, No. 9, Paper No. 064, 64 p. (2013). MSC: 81R12 PDF BibTeX XML Cite \textit{A. Alexandrov} et al., J. High Energy Phys. 2013, No. 9, Paper No. 064, 64 p. (2013; Zbl 1342.81179) Full Text: DOI arXiv
Naoi, Katsuyuki Demazure modules and graded limits of minimal affinizations. (English) Zbl 1302.17014 Represent. Theory 17, 524-556 (2013). MSC: 17B10 17B37 20G42 PDF BibTeX XML Cite \textit{K. Naoi}, Represent. Theory 17, 524--556 (2013; Zbl 1302.17014) Full Text: DOI arXiv
Leclerc, Bernard; Plamondon, Pierre-Guy Nakajima varieties and repetitive algebras. (English) Zbl 1285.14050 Publ. Res. Inst. Math. Sci. 49, No. 3, 531-561 (2013). Reviewer: Alan Koch (Decatur) MSC: 14L24 16G20 17B37 PDF BibTeX XML Cite \textit{B. Leclerc} and \textit{P.-G. Plamondon}, Publ. Res. Inst. Math. Sci. 49, No. 3, 531--561 (2013; Zbl 1285.14050) Full Text: DOI arXiv
Chari, Vyjayanthi; Moura, Adriano; Young, Charles Prime representations from a homological perspective. (English) Zbl 1369.17008 Math. Z. 274, No. 1-2, 613-645 (2013). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{V. Chari} et al., Math. Z. 274, No. 1--2, 613--645 (2013; Zbl 1369.17008) Full Text: DOI arXiv
Mukhin, E.; Young, C. A. S. Extended T-systems. (English) Zbl 1326.17014 Sel. Math., New Ser. 18, No. 3, 591-631 (2012). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 81R50 82B23 PDF BibTeX XML Cite \textit{E. Mukhin} and \textit{C. A. S. Young}, Sel. Math., New Ser. 18, No. 3, 591--631 (2012; Zbl 1326.17014) Full Text: DOI arXiv
Mukhin, E.; Young, C. A. S. Path description of type B \(q\)-characters. (English) Zbl 1323.17015 Adv. Math. 231, No. 2, 1119-1150 (2012). MSC: 17B37 PDF BibTeX XML Cite \textit{E. Mukhin} and \textit{C. A. S. Young}, Adv. Math. 231, No. 2, 1119--1150 (2012; Zbl 1323.17015) Full Text: DOI arXiv
Di Francesco, Philippe; Kedem, Rinat The solution of the quantum \(A_1\) \(T\)-system for arbitrary boundary. (English) Zbl 1274.82011 Commun. Math. Phys. 313, No. 2, 329-350 (2012). MSC: 82B20 13F60 PDF BibTeX XML Cite \textit{P. Di Francesco} and \textit{R. Kedem}, Commun. Math. Phys. 313, No. 2, 329--350 (2012; Zbl 1274.82011) Full Text: DOI arXiv
Di Francesco, Philippe; Kedem, Rinat Non-commutative integrability, paths and quasi-determinants. (English) Zbl 1252.37069 Adv. Math. 228, No. 1, 97-152 (2011). MSC: 37K60 13F60 PDF BibTeX XML Cite \textit{P. Di Francesco} and \textit{R. Kedem}, Adv. Math. 228, No. 1, 97--152 (2011; Zbl 1252.37069) Full Text: DOI arXiv
Hernandez, David The algebra \(U_q(\widehat{sl}_\infty)\) and applications. (English) Zbl 1278.17017 J. Algebra 329, No. 1, 147-162 (2011). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, J. Algebra 329, No. 1, 147--162 (2011; Zbl 1278.17017) Full Text: DOI
Di Francesco, Philippe Discrete integrable systems, positivity, and continued fraction rearrangements. (English) Zbl 1277.13019 Lett. Math. Phys. 96, No. 1-3, 299-324 (2011). MSC: 13F60 05E10 37K60 37N20 81R12 82B20 PDF BibTeX XML Cite \textit{P. Di Francesco}, Lett. Math. Phys. 96, No. 1--3, 299--324 (2011; Zbl 1277.13019) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David Langlands duality for finite-dimensional representations of quantum affine algebras. (English) Zbl 1222.17014 Lett. Math. Phys. 96, No. 1-3, 217-261 (2011). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17B10 81R50 PDF BibTeX XML Cite \textit{E. Frenkel} and \textit{D. Hernandez}, Lett. Math. Phys. 96, No. 1--3, 217--261 (2011; Zbl 1222.17014) Full Text: DOI arXiv
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
Frenkel, Edward; Hernandez, David Langlands duality for representations of quantum groups. (English) Zbl 1219.17007 Math. Ann. 349, No. 3, 705-746 (2011). Reviewer: Gastón Andrés García (Córdoba) MSC: 17B37 17B10 81R50 PDF BibTeX XML Cite \textit{E. Frenkel} and \textit{D. Hernandez}, Math. Ann. 349, No. 3, 705--746 (2011; Zbl 1219.17007) Full Text: DOI arXiv
Tsuboi, Zengo Solutions of the T-system and Baxter equations for supersymmetric spin chains. (English) Zbl 1203.82029 Nucl. Phys., B 826, No. 3, 399-455 (2010). MSC: 82B20 82B23 17B80 81T60 81R50 17B37 PDF BibTeX XML Cite \textit{Z. Tsuboi}, Nucl. Phys., B 826, No. 3, 399--455 (2010; Zbl 1203.82029) Full Text: DOI arXiv
Hernandez, David; Leclerc, Bernard Cluster algebras and quantum affine algebras. (English) Zbl 1284.17010 Duke Math. J. 154, No. 2, 265-341 (2010). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 16D90 18D10 13F60 PDF BibTeX XML Cite \textit{D. Hernandez} and \textit{B. Leclerc}, Duke Math. J. 154, No. 2, 265--341 (2010; Zbl 1284.17010) Full Text: DOI arXiv
Hernandez, David Simple tensor products. (English) Zbl 1221.17015 Invent. Math. 181, No. 3, 649-675 (2010). Reviewer: Hu Jun (Beijing) MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{D. Hernandez}, Invent. Math. 181, No. 3, 649--675 (2010; Zbl 1221.17015) Full Text: DOI arXiv
Korff, Christian; Stroppel, Catharina The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology. (English) Zbl 1230.17010 Adv. Math. 225, No. 1, 200-268 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 14N35 17B67 05E05 82B23 81U40 PDF BibTeX XML Cite \textit{C. Korff} and \textit{C. Stroppel}, Adv. Math. 225, No. 1, 200--268 (2010; Zbl 1230.17010) 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
Di Francesco, Philippe; Kedem, Rinat \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property. (English) Zbl 1195.81077 Lett. Math. Phys. 89, No. 3, 183-216 (2009). MSC: 81R50 05E15 17B37 13F60 20C20 PDF BibTeX XML Cite \textit{P. Di Francesco} and \textit{R. Kedem}, Lett. Math. Phys. 89, No. 3, 183--216 (2009; Zbl 1195.81077) Full Text: DOI arXiv
Bazhanov, Vladimir V.; Tsuboi, Zengo Baxter’s Q-operators for supersymmetric spin chains. (English) Zbl 1190.82007 Nucl. Phys., B 805, No. 3, 451-516 (2008). MSC: 82B20 81T60 81R50 17B37 PDF BibTeX XML Cite \textit{V. V. Bazhanov} and \textit{Z. Tsuboi}, Nucl. Phys., B 805, No. 3, 451--516 (2008; Zbl 1190.82007) 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
Nakai, Wakako; Nakanishi, Tomoki Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type \(D_n\). (English) Zbl 1171.17004 J. Algebr. Comb. 26, No. 2, 253-290 (2007). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{W. Nakai} and \textit{T. Nakanishi}, J. Algebr. Comb. 26, No. 2, 253--290 (2007; Zbl 1171.17004) Full Text: DOI arXiv
Lee, Hyeonmi Extended Nakajima monomials and crystal \({\mathcal B}(\infty)\) for finite simple Lie algebras. (English) Zbl 1151.17006 J. Algebra 314, No. 1, 439-470 (2007). Reviewer: David Hernandez (Paris) MSC: 17B37 PDF BibTeX XML Cite \textit{H. Lee}, J. Algebra 314, No. 1, 439--470 (2007; Zbl 1151.17006) Full Text: DOI
Fourier, G.; Littelmann, P. Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions. (English) Zbl 1114.22010 Adv. Math. 211, No. 2, 566-593 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B37 22E46 14M15 PDF BibTeX XML Cite \textit{G. Fourier} and \textit{P. Littelmann}, Adv. Math. 211, No. 2, 566--593 (2007; Zbl 1114.22010) Full Text: DOI
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
Chari, Vyjayanthi; Loktev, Sergei Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\). (English) Zbl 1161.17318 Adv. Math. 207, No. 2, 928-960 (2006). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{V. Chari} and \textit{S. Loktev}, Adv. Math. 207, No. 2, 928--960 (2006; Zbl 1161.17318) Full Text: DOI arXiv
Chari, Vyjayanthi; Moura, Adriano A. Characters of fundamental representations of quantum affine algebras. (English) Zbl 1101.17016 Acta Appl. Math. 90, No. 1-2, 43-63 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B10 20G42 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. A. Moura}, Acta Appl. Math. 90, No. 1--2, 43--63 (2006; Zbl 1101.17016) 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
Chari, Vyjayanthi; Moura, Adriano A. Spectral characters of finite-dimensional representations of affine algebras. (English) Zbl 1195.17018 J. Algebra 279, No. 2, 820-839 (2004). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. A. Moura}, J. Algebra 279, No. 2, 820--839 (2004; Zbl 1195.17018) 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
Hernandez, David Algebraic approach to \(q,t\)-characters. (English) Zbl 1098.17009 Adv. Math. 187, No. 1, 1-52 (2004). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, Adv. Math. 187, No. 1, 1--52 (2004; Zbl 1098.17009) Full Text: DOI arXiv
Etingof, Pavel I.; Moura, Adriano A. Elliptic central characters and blocks of finite dimensional representations of quantum affine algebras. (English) Zbl 1066.17005 Represent. Theory 7, 346-373 (2003). MSC: 17B37 18E10 PDF BibTeX XML Cite \textit{P. I. Etingof} and \textit{A. A. Moura}, Represent. Theory 7, 346--373 (2003; Zbl 1066.17005) Full Text: DOI 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
Chari, Vyjayanthi; Greenstein, Jacob Quantum loop modules. (English) Zbl 1030.17010 Represent. Theory 7, 56-80 (2003). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{V. Chari} and \textit{J. Greenstein}, Represent. Theory 7, 56--80 (2003; Zbl 1030.17010) Full Text: DOI arXiv