Buckland, Matthew; Kolesnik, Brett; Mitchell, Rivka; Przybyłowski, Tomasz Random walks on Coxeter interchange graphs. arXiv:2401.17210 Preprint, arXiv:2401.17210 [math.CO] (2024). MSC: 05C20 11P21 17B22 20F55 51F15 51M20 52B05 60J10 62J15 BibTeX Cite \textit{M. Buckland} et al., ``Random walks on Coxeter interchange graphs'', Preprint, arXiv:2401.17210 [math.CO] (2024) Full Text: arXiv OA License
Habibullin, I. T.; Khakimova, A. R. On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras. (English. Russian original) Zbl 07805989 Theor. Math. Phys. 217, No. 1, 1541-1573 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 142-178 (2023). MSC: 37K60 37K30 39A14 39A36 17B80 PDFBibTeX XMLCite \textit{I. T. Habibullin} and \textit{A. R. Khakimova}, Theor. Math. Phys. 217, No. 1, 1541--1573 (2023; Zbl 07805989); translation from Teor. Mat. Fiz. 217, No. 1, 142--178 (2023) Full Text: DOI arXiv
Cooper, Luke; Sumner, Jeremy Uniformization stable Markov models and their Jordan algebraic structure. (English) Zbl 07783215 SIAM J. Matrix Anal. Appl. 44, No. 4, 1822-1851 (2023). MSC: 60J10 17C90 PDFBibTeX XMLCite \textit{L. Cooper} and \textit{J. Sumner}, SIAM J. Matrix Anal. Appl. 44, No. 4, 1822--1851 (2023; Zbl 07783215) Full Text: DOI arXiv
Vidal, Sebastian J.; Cadavid, Paula; Rodriguez, Pablo M. Hilbert evolution algebras and its connection with discrete-time Markov chains. (English) Zbl 1526.17051 Indian J. Pure Appl. Math. 54, No. 3, 883-894 (2023). Reviewer: Raúl M. Falcón (Sevilla) MSC: 17D92 46C99 60J10 PDFBibTeX XMLCite \textit{S. J. Vidal} et al., Indian J. Pure Appl. Math. 54, No. 3, 883--894 (2023; Zbl 1526.17051) Full Text: DOI arXiv
Kurdachenko, L. A.; Otal, J.; Subbotin, I. Ya. On groups whose subnormal abelian subgroups are normal. (English) Zbl 1516.20059 Adv. Group Theory Appl. 14, 67-94 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20E15 20E34 17B05 PDFBibTeX XMLCite \textit{L. A. Kurdachenko} et al., Adv. Group Theory Appl. 14, 67--94 (2022; Zbl 1516.20059) Full Text: arXiv Link
Boujakhrout, Y.; Saidi, E. H.; Laamara, R. Ahl; Drissi, L. B. Lax operator and superspin chains from 4D CS gauge theory. (English) Zbl 1520.81125 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415402, 46 p. (2022). MSC: 81T13 37K10 81R05 17B80 PDFBibTeX XMLCite \textit{Y. Boujakhrout} et al., J. Phys. A, Math. Theor. 55, No. 41, Article ID 415402, 46 p. (2022; Zbl 1520.81125) Full Text: DOI arXiv
Frassek, Rouven; Pestun, Vasily; Tsymbaliuk, Alexander Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type. (English) Zbl 1514.17013 Adv. Math. 401, Article ID 108283, 73 p. (2022). MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{R. Frassek} et al., Adv. Math. 401, Article ID 108283, 73 p. (2022; Zbl 1514.17013) Full Text: DOI arXiv
Lu, Kang A note on odd reflections of super Yangian and Bethe ansatz. (English) Zbl 1500.17014 Lett. Math. Phys. 112, No. 2, Paper No. 29, 26 p. (2022). Reviewer: Marijana Butorac (Rijeka) MSC: 17B37 82B23 PDFBibTeX XMLCite \textit{K. Lu}, Lett. Math. Phys. 112, No. 2, Paper No. 29, 26 p. (2022; Zbl 1500.17014) Full Text: DOI arXiv
Gagnon, Lucas The combinatorics of normal subgroups in the unipotent upper triangular group. (English) Zbl 1498.05288 Combinatorial Theory 1, Paper No. 15, 34 p. (2021). MSC: 05E16 20G40 17B45 20E15 PDFBibTeX XMLCite \textit{L. Gagnon}, Comb. Theory 1, Paper No. 15, 34 p. (2021; Zbl 1498.05288) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata Set-theoretic Yang-Baxter & reflection equations and quantum group symmetries. (English) Zbl 1486.16039 Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021). Reviewer: Matthew Harper (Columbus) MSC: 16T20 16T25 17B37 20G42 82B23 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{A. Smoktunowicz}, Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021; Zbl 1486.16039) Full Text: DOI arXiv
Jimbo, Michio; Miwa, Tetsuji; Smirnov, Fedor Local operators in integrable models I. (English) Zbl 1492.82004 Mathematical Surveys and Monographs 256. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6552-0/pbk; 978-1-4704-6576-6/ebook). xii, 192 p. (2021). Reviewer: Nenad Manojlović (Faro) MSC: 82-02 82B20 82B23 82D40 16T20 16T25 17B37 81T40 81R50 PDFBibTeX XMLCite \textit{M. Jimbo} et al., Local operators in integrable models I. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1492.82004)
Lu, Kang; Mukhin, Evgeny On the supersymmetric XXX spin chains associated to \(\mathfrak{gl}_{1|1} \). (English) Zbl 1508.82014 Commun. Math. Phys. 386, No. 2, 711-747 (2021). MSC: 82B23 17B81 81T60 PDFBibTeX XMLCite \textit{K. Lu} and \textit{E. Mukhin}, Commun. Math. Phys. 386, No. 2, 711--747 (2021; Zbl 1508.82014) Full Text: DOI arXiv
Paniello, Irene A coalgebraic structure on bisexual populations. (English) Zbl 1475.17055 Algebr. Represent. Theory 24, No. 4, 1053-1069 (2021). Reviewer: Richard Varro (Montpellier) MSC: 17D92 92D25 60J10 PDFBibTeX XMLCite \textit{I. Paniello}, Algebr. Represent. Theory 24, No. 4, 1053--1069 (2021; Zbl 1475.17055) Full Text: DOI
Jarvis, Peter D.; Sumner, Jeremy G. Correction to: “Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model”. (English) Zbl 1464.92194 J. Math. Biol. 82, No. 7, Paper No. 68, 1 p. (2021). MSC: 92D15 05E05 20G05 17B45 60J20 PDFBibTeX XMLCite \textit{P. D. Jarvis} and \textit{J. G. Sumner}, J. Math. Biol. 82, No. 7, Paper No. 68, 1 p. (2021; Zbl 1464.92194) Full Text: DOI
Paniello, Irene In-evolution operators in genetic coalgebras. (English) Zbl 1475.17054 Linear Algebra Appl. 614, 197-207 (2021). Reviewer: Richard Varro (Montpellier) MSC: 17D92 15B51 60J10 PDFBibTeX XMLCite \textit{I. Paniello}, Linear Algebra Appl. 614, 197--207 (2021; Zbl 1475.17054) Full Text: DOI
Frassek, Rouven Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains. (English) Zbl 1479.82015 Nucl. Phys., B 956, Article ID 115063, 22 p. (2020). MSC: 82B20 81R10 17B38 PDFBibTeX XMLCite \textit{R. Frassek}, Nucl. Phys., B 956, Article ID 115063, 22 p. (2020; Zbl 1479.82015) Full Text: DOI arXiv
Gerrard, Allan; Regelskis, Vidas Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains. (English) Zbl 1479.82017 Nucl. Phys., B 952, Article ID 114909, 67 p. (2020). MSC: 82B20 82B23 81R12 81R50 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} and \textit{V. Regelskis}, Nucl. Phys., B 952, Article ID 114909, 67 p. (2020; Zbl 1479.82017) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Actions of the monodromy matrix elements onto \(\mathfrak{g}\mathfrak{l}\left(m\vert n\right)\)-invariant Bethe vectors. (English) Zbl 1459.82069 J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020). MSC: 82B23 17B37 81R12 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020; Zbl 1459.82069) Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Vertex operators, solvable lattice models and metaplectic Whittaker functions. (English) Zbl 1456.82097 Commun. Math. Phys. 380, No. 2, 535-579 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 33C15 16T05 16T25 20G42 33D80 17B69 17B80 37K60 15A66 PDFBibTeX XMLCite \textit{B. Brubaker} et al., Commun. Math. Phys. 380, No. 2, 535--579 (2020; Zbl 1456.82097) Full Text: DOI arXiv
Glasby, S. P.; Ribeiro, Frederico A. M.; Schneider, Csaba Duality between \(p\)-groups with three characteristic subgroups and semisimple anti-commutative algebras. (English) Zbl 1506.20036 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1827-1852 (2020). MSC: 20D15 20C20 20E15 20F28 17A30 17A36 PDFBibTeX XMLCite \textit{S. P. Glasby} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1827--1852 (2020; Zbl 1506.20036) Full Text: DOI arXiv
Magnano, Guido; Skrypnyk, Taras New separation of variables for the classical \(XXX\) and \(XXZ\) Heisenberg spin chains. (English) Zbl 1444.37049 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020). MSC: 37J35 37J37 17B80 82B23 PDFBibTeX XMLCite \textit{G. Magnano} and \textit{T. Skrypnyk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020; Zbl 1444.37049) Full Text: DOI arXiv
Matos, Gabriel; Oliveira, Lina Kernel maps and operator decomposition. (English) Zbl 1444.47018 Banach J. Math. Anal. 14, No. 2, 361-379 (2020). Reviewer: Timothy Feeman (Villanova) MSC: 47A46 47L35 17B60 PDFBibTeX XMLCite \textit{G. Matos} and \textit{L. Oliveira}, Banach J. Math. Anal. 14, No. 2, 361--379 (2020; Zbl 1444.47018) Full Text: DOI arXiv
Granet, Etienne; Lykke Jacobsen, Jesper; Saleur, Hubert Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups. (English) Zbl 1509.81526 J. Phys. A, Math. Theor. 52, No. 34, Article ID 345001, 70 p. (2019). MSC: 81R40 81Q60 81T60 82B23 17B80 PDFBibTeX XMLCite \textit{E. Granet} et al., J. Phys. A, Math. Theor. 52, No. 34, Article ID 345001, 70 p. (2019; Zbl 1509.81526) Full Text: DOI arXiv
Nirov, Khazret S.; Razumov, Alexander V. Vertex models and spin chains in formulas and pictures. (English) Zbl 1460.17024 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 068, 67 p. (2019). MSC: 17B37 17B80 16T05 16T25 PDFBibTeX XMLCite \textit{K. S. Nirov} and \textit{A. V. Razumov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 068, 67 p. (2019; Zbl 1460.17024) Full Text: DOI arXiv
Gao, Nan; Koenig, Steffen; Psaroudakis, Chrysostomos Recollements of abelian categories and ideals in heredity chains – a recursive approach to quasi-hereditary algebras. (English) Zbl 1471.16015 Proc. Am. Math. Soc. 147, No. 11, 4625-4637 (2019). MSC: 16G10 17B10 16E60 18G15 PDFBibTeX XMLCite \textit{N. Gao} et al., Proc. Am. Math. Soc. 147, No. 11, 4625--4637 (2019; Zbl 1471.16015) Full Text: DOI arXiv
Aldosray, Falih A. M.; Stewart, Ian A generalized Noetherian condition for Lie algebras. (English) Zbl 1476.17021 J. Algebra Appl. 18, No. 8, Article ID 1950146, 17 p. (2019). MSC: 17B65 17B30 17B40 20F14 20F22 PDFBibTeX XMLCite \textit{F. A. M. Aldosray} and \textit{I. Stewart}, J. Algebra Appl. 18, No. 8, Article ID 1950146, 17 p. (2019; Zbl 1476.17021) Full Text: DOI
Gerrard, Allan; MacKay, Niall; Regelskis, Vidas Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry. (English) Zbl 1416.82012 Ann. Henri Poincaré 20, No. 2, 339-392 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B23 81R12 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} et al., Ann. Henri Poincaré 20, No. 2, 339--392 (2019; Zbl 1416.82012) Full Text: DOI arXiv Link
Vershik, A.; Sergeev, A. Corrigendum to: “A new approach to the representation theory of the symmetric groups. IV. \(\mathbb{Z}_2\)-graded groups and algebras”. (English) Zbl 1453.20023 Mosc. Math. J. 18, No. 1, 187 (2018). MSC: 20C30 05E10 20C25 17A70 16W50 PDFBibTeX XMLCite \textit{A. Vershik} and \textit{A. Sergeev}, Mosc. Math. J. 18, No. 1, 187 (2018; Zbl 1453.20023) Full Text: Link
Nepomechie, Rafael I.; Pimenta, Rodrigo A. New \(\mathbf{D_{n+1}^{(2)}}\) K-matrices with quantum group symmetry. (English) Zbl 1407.81109 J. Phys. A, Math. Theor. 51, No. 39, Article ID 39LT02, 12 p. (2018). MSC: 81R50 82B20 16T25 81R12 17B81 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{R. A. Pimenta}, J. Phys. A, Math. Theor. 51, No. 39, Article ID 39LT02, 12 p. (2018; Zbl 1407.81109) Full Text: DOI arXiv
Sumner, Jeremy G. Multiplicatively closed Markov models must form Lie algebras. (English) Zbl 1416.17007 ANZIAM J. 59, No. 2, 240-246 (2017). MSC: 17B45 60J27 PDFBibTeX XMLCite \textit{J. G. Sumner}, ANZIAM J. 59, No. 2, 240--246 (2017; Zbl 1416.17007) Full Text: DOI arXiv
Kuniba, Atsuo; Okado, Masato A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\). (English) Zbl 1369.16033 Lett. Math. Phys. 107, No. 6, 1111-1130 (2017). MSC: 16T25 17B37 60J10 PDFBibTeX XMLCite \textit{A. Kuniba} and \textit{M. Okado}, Lett. Math. Phys. 107, No. 6, 1111--1130 (2017; Zbl 1369.16033) Full Text: DOI arXiv
Liu, Zhengwei; Wu, Jinsong Uncertainty principles for Kac algebras. (English) Zbl 1364.81021 J. Math. Phys. 58, No. 5, 052102, 12 p. (2017). MSC: 81P05 81S05 60J10 94A17 43A25 17B67 18A32 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{J. Wu}, J. Math. Phys. 58, No. 5, 052102, 12 p. (2017; Zbl 1364.81021) Full Text: DOI arXiv
Bolsinov, Alexey V. Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko-Fomenko conjecture. (English) Zbl 1474.37065 Theor. Appl. Mech. (Belgrade) 43, No. 2, 145-168 (2016). MSC: 37J37 37J35 17B80 70H06 53D17 17B63 PDFBibTeX XMLCite \textit{A. V. Bolsinov}, Theor. Appl. Mech. (Belgrade) 43, No. 2, 145--168 (2016; Zbl 1474.37065) Full Text: DOI arXiv
Defosseux, Manon Fusion coefficients and random walks in alcoves. (English. French summary) Zbl 1402.17030 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1515-1534 (2016). MSC: 17B67 17B10 17B20 22E30 60J10 PDFBibTeX XMLCite \textit{M. Defosseux}, Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1515--1534 (2016; Zbl 1402.17030) Full Text: DOI arXiv
Kuniba, A.; Mangazeev, V. V.; Maruyama, S.; Okado, M. Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). (English) Zbl 1349.81115 Nucl. Phys., B 913, 248-277 (2016). MSC: 81R50 17B37 81R12 16T25 60J20 60J28 82C23 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Nucl. Phys., B 913, 248--277 (2016; Zbl 1349.81115) Full Text: DOI arXiv
Jarvis, Peter D.; Sumner, Jeremy G. Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model. (English) Zbl 1343.92352 J. Math. Biol. 73, No. 2, 259-282 (2016); correction ibid. 82, No. 7, Paper No. 68, 1 p. (2021). MSC: 92D15 05E05 20G05 17B45 60J20 PDFBibTeX XMLCite \textit{P. D. Jarvis} and \textit{J. G. Sumner}, J. Math. Biol. 73, No. 2, 259--282 (2016; Zbl 1343.92352) Full Text: DOI arXiv
Lecouvey, Cédric; Lesigne, Emmanuel; Peigné, Marc Conditioned random walks from Kac-Moody root systems. (English) Zbl 1331.05228 Trans. Am. Math. Soc. 368, No. 5, 3177-3210 (2016). MSC: 05E10 05E05 17B10 17B67 60G50 60J10 60J22 PDFBibTeX XMLCite \textit{C. Lecouvey} et al., Trans. Am. Math. Soc. 368, No. 5, 3177--3210 (2016; Zbl 1331.05228) Full Text: DOI arXiv
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. Constrained evolution algebras and dynamical systems of a bisexual population. (English) Zbl 1382.17022 Linear Algebra Appl. 496, 351-380 (2016). MSC: 17D92 17A60 60J20 92D25 PDFBibTeX XMLCite \textit{A. Dzhumadil'daev} et al., Linear Algebra Appl. 496, 351--380 (2016; Zbl 1382.17022) Full Text: DOI arXiv
Laue, Hartmut Upper central chains in rings. (English) Zbl 1334.16017 Commun. Algebra 43, No. 11, 4705-4710 (2015). Reviewer: Halina France-Jackson (Port Elizabeth) MSC: 16N20 17B60 16W10 20F14 16N40 PDFBibTeX XMLCite \textit{H. Laue}, Commun. Algebra 43, No. 11, 4705--4710 (2015; Zbl 1334.16017) Full Text: DOI
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Bannai-Ito polynomials and dressing chains. (English) Zbl 1304.42063 Proc. Am. Math. Soc. 142, No. 12, 4191-4206 (2014). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 17B80 33C45 47B36 PDFBibTeX XMLCite \textit{M. Derevyagin} et al., Proc. Am. Math. Soc. 142, No. 12, 4191--4206 (2014; Zbl 1304.42063) Full Text: DOI arXiv
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. On a class of evolution algebras of “chicken” population. (English) Zbl 1339.17022 Int. J. Math. 25, No. 8, Article ID 1450073, 19 p. (2014). Reviewer: Sara Madariaga Merino (Logroño) MSC: 17D92 17D99 60J10 PDFBibTeX XMLCite \textit{A. Dzhumadil'daev} et al., Int. J. Math. 25, No. 8, Article ID 1450073, 19 p. (2014; Zbl 1339.17022) Full Text: DOI
Piroli, Lorenzo; Calabrese, Pasquale Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains. (English) Zbl 1302.82028 J. Phys. A, Math. Theor. 47, No. 38, Article ID 385003, 18 p. (2014). MSC: 82B20 37J35 82B23 17B80 PDFBibTeX XMLCite \textit{L. Piroli} and \textit{P. Calabrese}, J. Phys. A, Math. Theor. 47, No. 38, Article ID 385003, 18 p. (2014; Zbl 1302.82028) Full Text: DOI arXiv
Paniello, Irene Marginal distributions of genetic coalgebras. (English) Zbl 1284.92057 J. Math. Biol. 68, No. 5, 1071-1087 (2014). MSC: 92D10 17D92 60J20 60J85 15B51 PDFBibTeX XMLCite \textit{I. Paniello}, J. Math. Biol. 68, No. 5, 1071--1087 (2014; Zbl 1284.92057) Full Text: DOI
Ladra, M.; Rozikov, U. A. Evolution algebra of a bisexual population. (English) Zbl 1293.17041 J. Algebra 378, 153-172 (2013). Reviewer: Antonio M. Oller (Zaragoza) MSC: 17D92 17D99 60J10 PDFBibTeX XMLCite \textit{M. Ladra} and \textit{U. A. Rozikov}, J. Algebra 378, 153--172 (2013; Zbl 1293.17041) Full Text: DOI arXiv Link
Defosseux, Manon An interacting particle model and a Pieri-type formula for the orthogonal group. (English) Zbl 1271.60102 J. Theor. Probab. 26, No. 2, 568-588 (2013). MSC: 60K35 60J10 17B10 PDFBibTeX XMLCite \textit{M. Defosseux}, J. Theor. Probab. 26, No. 2, 568--588 (2013; Zbl 1271.60102) Full Text: DOI arXiv
Ladra, M.; Rozikov, U. A. Evolution algebra of a ”chicken” population. arXiv:1307.4916 Preprint, arXiv:1307.4916 [math.AC] (2013). MSC: 17D92 17D99 60J10 BibTeX Cite \textit{M. Ladra} and \textit{U. A. Rozikov}, ``Evolution algebra of a "chicken" population'', Preprint, arXiv:1307.4916 [math.AC] (2013) Full Text: arXiv OA License
Shang, Yilun A Lie algebra approach to susceptible-infected-susceptible epidemics. (English) Zbl 1321.92077 Electron. J. Differ. Equ. 2012, Paper No. 233, 7 p. (2012). MSC: 92D30 17B80 60J22 PDFBibTeX XMLCite \textit{Y. Shang}, Electron. J. Differ. Equ. 2012, Paper No. 233, 7 p. (2012; Zbl 1321.92077) Full Text: EMIS
Frahm, Holger; Martins, Márcio J. Phase diagram of an integrable alternating \(U_q[sl(2|1)]\) superspin chain. (English) Zbl 1246.82016 Nucl. Phys., B 862, No. 2, 504-552 (2012). MSC: 82B20 82B23 82B27 82B30 17A70 81R50 17B37 PDFBibTeX XMLCite \textit{H. Frahm} and \textit{M. J. Martins}, Nucl. Phys., B 862, No. 2, 504--552 (2012; Zbl 1246.82016) Full Text: DOI arXiv
Minahan, Joseph A. Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills. (English) Zbl 1244.81045 Lett. Math. Phys. 99, No. 1-3, 33-58 (2012). MSC: 81T13 81T60 17A70 82B23 82B20 PDFBibTeX XMLCite \textit{J. A. Minahan}, Lett. Math. Phys. 99, No. 1--3, 33--58 (2012; Zbl 1244.81045) Full Text: DOI arXiv
Zoubos, Konstantinos Review of AdS/CFT integrability, chapter IV.2: Deformations, orbifolds and open boundaries. (English) Zbl 1244.81057 Lett. Math. Phys. 99, No. 1-3, 375-400 (2012). MSC: 81T30 81R50 81T60 82B23 17B37 82B20 57R18 81-02 PDFBibTeX XMLCite \textit{K. Zoubos}, Lett. Math. Phys. 99, No. 1--3, 375--400 (2012; Zbl 1244.81057) Full Text: DOI arXiv
Ponomarev, K. N. Factor morphisms and centroids of locally nilpotent groups. (English. Russian original) Zbl 1281.20039 Algebra Logic 50, No. 1, 29-45 (2011); translation from Algebra Logika 50, No. 1, 42-67 (2011). Reviewer: Hermann Heineken (Würzburg) MSC: 20F19 20E25 20E36 20E15 17B66 PDFBibTeX XMLCite \textit{K. N. Ponomarev}, Algebra Logic 50, No. 1, 29--45 (2011; Zbl 1281.20039); translation from Algebra Logika 50, No. 1, 42--67 (2011) Full Text: DOI
Bytsko, A. G. Non-Hermitian spin chains with inhomogeneous coupling. (English. Russian original) Zbl 1219.81160 St. Petersbg. Math. J. 22, No. 3, 393-410 (2011); translation from Algebra Anal. 2010, No. 3, 80-106 (2010). MSC: 81R50 81Q10 82B20 17B37 PDFBibTeX XMLCite \textit{A. G. Bytsko}, St. Petersbg. Math. J. 22, No. 3, 393--410 (2011; Zbl 1219.81160); translation from Algebra Anal. 2010, No. 3, 80--106 (2010) Full Text: DOI arXiv
Crampé, Nicolas; Ragoucy, Eric; Alonzi, Ludovic Coordinate Bethe ansatz for spin \(s\) XXX model. (English) Zbl 1220.82034 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 006, 13 p. (2011). MSC: 82B23 81R12 17B80 82B20 PDFBibTeX XMLCite \textit{N. Crampé} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 006, 13 p. (2011; Zbl 1220.82034) Full Text: DOI arXiv EuDML
Zheltukhina, N. A.; Sakieva, A. U.; Khabibullin, I. T. Characteristic Lie algebra and Darboux integrable discrete chains. (Russian. English summary) Zbl 1240.34022 Ufim. Mat. Zh. 2, No. 4, 39-51 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 34A26 34C14 34A05 17B66 PDFBibTeX XMLCite \textit{N. A. Zheltukhina} et al., Ufim. Mat. Zh. 2, No. 4, 39--51 (2010; Zbl 1240.34022) Full Text: MNR
Regniers, G.; Van der Jeugt, J. Analytically solvable quantum Hamiltonians and relations to orthogonal polynomials. (English) Zbl 1210.81028 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 99-114 (2010). MSC: 81Q05 81U15 81Q80 81R05 33C45 17B10 PDFBibTeX XMLCite \textit{G. Regniers} and \textit{J. Van der Jeugt}, AIP Conf. Proc. 1243, 99--114 (2010; Zbl 1210.81028) Full Text: DOI
Odesskii, A. V.; Sokolov, V. V. Classification of integrable hydrodynamic chains. (English) Zbl 1220.37056 J. Phys. A, Math. Theor. 43, No. 43, Article ID 434027, 15 p. (2010). Reviewer: Valentina Golubeva (Moskva) MSC: 37K10 17B80 32L81 14H70 PDFBibTeX XMLCite \textit{A. V. Odesskii} and \textit{V. V. Sokolov}, J. Phys. A, Math. Theor. 43, No. 43, Article ID 434027, 15 p. (2010; Zbl 1220.37056) Full Text: DOI arXiv
Saleur, H. Superspin chains and supersigma models: a short introduction. (English) Zbl 1228.82024 Jacobson, Jesper (ed.) et al., Exact methods in low-dimensional statistical physics and quantum computing. École d’été de Physique des Houches, session LXXXIX, 30 June–1 August 2008, école thématique du CRNS. Oxford: Oxford University Press (ISBN 978-0-19-957461-2/hbk). 455-481 (2010). MSC: 82B20 82B41 81T10 17B10 PDFBibTeX XMLCite \textit{H. Saleur}, in: Exact methods in low-dimensional statistical physics and quantum computing. École d'été de Physique des Houches, session LXXXIX, 30 June--1 August 2008, école thématique du CRNS. Oxford: Oxford University Press. 455--481 (2010; Zbl 1228.82024)
Sun, Shanli; Ma, Xuefeng Solvable Jordan algebras of compact operators. (English) Zbl 1459.47030 Linear Algebra Appl. 432, No. 5, 1337-1347 (2010). MSC: 47L70 17C65 47A46 PDFBibTeX XMLCite \textit{S. Sun} and \textit{X. Ma}, Linear Algebra Appl. 432, No. 5, 1337--1347 (2010; Zbl 1459.47030) Full Text: DOI
Kholodenko, Arkady L. Veneziano amplitudes, spin chains, and string models. (English) Zbl 1185.81107 Int. J. Geom. Methods Mod. Phys. 6, No. 5, 769-803 (2009). MSC: 81T25 81T30 81T40 82B20 81R50 17B37 PDFBibTeX XMLCite \textit{A. L. Kholodenko}, Int. J. Geom. Methods Mod. Phys. 6, No. 5, 769--803 (2009; Zbl 1185.81107) Full Text: DOI arXiv
Gravin, N. V.; Shiryaev, D. Yu. Abnormal subgroups in classical groups that correspond to closed root sets. (English. Russian original) Zbl 1193.20058 J. Math. Sci., New York 161, No. 4, 542-552 (2009); translation from Zap. Nauchn. Semin. POMI 365, 151-171 (2009). Reviewer: Bui Xuan Hai (Ho Chi Minh City) MSC: 20G15 20E07 20E15 17B22 PDFBibTeX XMLCite \textit{N. V. Gravin} and \textit{D. Yu. Shiryaev}, J. Math. Sci., New York 161, No. 4, 542--552 (2009; Zbl 1193.20058); translation from Zap. Nauchn. Semin. POMI 365, 151--171 (2009) Full Text: DOI
Chabashvili, Maia; Bokelavadze, Tengiz On the lattice isomorphisms of 2-nilpotent \(W\)-power Hall groups and Lie algebras. (English) Zbl 1183.20029 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 56-59 (2009). MSC: 20E15 20F19 17B30 PDFBibTeX XMLCite \textit{M. Chabashvili} and \textit{T. Bokelavadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 56--59 (2009; Zbl 1183.20029)
Strambach, Karl Algebraic groups and Lie groups with few factors. (English) Zbl 1281.20057 Armen. J. Math. 1, No. 2, 4-9 (2008). MSC: 20G15 22E10 22E15 17B30 20E07 20E15 14L10 22E25 PDFBibTeX XMLCite \textit{K. Strambach}, Armen. J. Math. 1, No. 2, 4--9 (2008; Zbl 1281.20057)
Vershik, A. M.; Sergeev, A. N. A new approach to the representation theory of the symmetric groups. IV: \(\mathbb{Z}_2\)-graded groups and algebras; projective representations of the group \(S_n\). (English) Zbl 1196.20017 Mosc. Math. J. 8, No. 4, 813-842 (2008); corrigendum ibid. 18, No. 1, 187 (2018). MSC: 20C30 05E10 20C25 17A70 16W50 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{A. N. Sergeev}, Mosc. Math. J. 8, No. 4, 813--842 (2008; Zbl 1196.20017) Full Text: Link
Kedem, Rinat \(Q\)-systems as cluster algebras. (English) Zbl 1141.81014 J. Phys. A, Math. Theor. 41, No. 19, Article ID 194011, 14 p. (2008). Reviewer: Ye Jiachen (Shanghai) MSC: 81R50 16W35 17B37 82B20 PDFBibTeX XMLCite \textit{R. Kedem}, J. Phys. A, Math. Theor. 41, No. 19, Article ID 194011, 14 p. (2008; Zbl 1141.81014) Full Text: DOI arXiv
Di Bartolo, Alfonso; Falcone, Giovanni; Plaumann, Peter; Strambach, Karl Algebraic groups and Lie groups with few factors. (English) Zbl 1176.20050 Lecture Notes in Mathematics 1944. Berlin: Springer (ISBN 978-3-540-78583-5/pbk). xvi, 206 p. (2008). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 20G15 22E10 22E15 20-02 22-02 14L17 17B45 20E15 PDFBibTeX XMLCite \textit{A. Di Bartolo} et al., Algebraic groups and Lie groups with few factors. Berlin: Springer (2008; Zbl 1176.20050) Full Text: DOI
Tian, Jianjun Paul Evolution algebras and their applications. (English) Zbl 1136.17001 Lecture Notes in Mathematics 1921. Berlin: Springer (ISBN 978-3-540-74283-8/pbk). xi, 125 p. (2008). Reviewer: Fouad Zitan (Tetouan) MSC: 17-02 17D92 60J10 92B05 05C62 16G99 60J27 PDFBibTeX XMLCite \textit{J. P. Tian}, Evolution algebras and their applications. Berlin: Springer (2008; Zbl 1136.17001) Full Text: DOI
Vasil’ev, Alexander Energy characteristics of subordination chains. (English) Zbl 1154.30010 Ark. Mat. 45, No. 1, 141-156 (2007). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30C45 30-06 30C55 17B68 81R10 30C35 PDFBibTeX XMLCite \textit{A. Vasil'ev}, Ark. Mat. 45, No. 1, 141--156 (2007; Zbl 1154.30010) Full Text: DOI arXiv
Dolgushev, Vasiliy Formality theorem for Hochschild (co)chains of the algebra of endomorphism of a vector bundle. (English) Zbl 1158.53340 Math. Res. Lett. 14, No. 5-6, 757-767 (2007). MSC: 53D55 53D17 16E40 16E45 17B56 PDFBibTeX XMLCite \textit{V. Dolgushev}, Math. Res. Lett. 14, No. 5--6, 757--767 (2007; Zbl 1158.53340) Full Text: DOI arXiv
Bowman, Kevin; Towers, David A.; Varea, Vicente R. On flags and maximal chains of lower modular subalgebras of Lie algebras. (English) Zbl 1161.17009 J. Lie Theory 17, No. 3, 605-616 (2007). MSC: 17B50 17B05 17B30 PDFBibTeX XMLCite \textit{K. Bowman} et al., J. Lie Theory 17, No. 3, 605--616 (2007; Zbl 1161.17009) Full Text: Link
Lenart, Cristian On the combinatorics of crystal graphs. I: Lusztig’s involution. (English) Zbl 1129.05058 Adv. Math. 211, No. 1, 204-243 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 05E15 17B10 20G05 22E46 PDFBibTeX XMLCite \textit{C. Lenart}, Adv. Math. 211, No. 1, 204--243 (2007; Zbl 1129.05058) Full Text: DOI arXiv
Malara, R.; Lima-Santos, A. On \(\mathcal A^{(1)}_{n-1}, \mathcal B^{(1)}_n, \mathcal C^{(1)}_n, \mathcal D^{(1)}_n, \mathcal A^{(2)}_{2n}, \mathcal A^{(2)}_{2n-1}\), and \(\mathcal D^{(2)}_{n+1}\) reflection \(K\)-matrices. (English) Zbl 1456.82295 J. Stat. Mech. Theory Exp. 2006, No. 9, Paper No. P09013, 62 p. (2006). MSC: 82B23 82B20 17B81 81R12 PDFBibTeX XMLCite \textit{R. Malara} and \textit{A. Lima-Santos}, J. Stat. Mech. Theory Exp. 2006, No. 9, Paper No. P09013, 62 p. (2006; Zbl 1456.82295) Full Text: DOI arXiv
Kuniba, Atsuo; Sakamoto, Reiho The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function. (English) Zbl 1456.82145 J. Stat. Mech. Theory Exp. 2006, No. 9, Paper No. P09005, 12 p. (2006). MSC: 82B20 82B23 17B37 39A10 68Q70 81R12 PDFBibTeX XMLCite \textit{A. Kuniba} and \textit{R. Sakamoto}, J. Stat. Mech. Theory Exp. 2006, No. 9, Paper No. P09005, 12 p. (2006; Zbl 1456.82145) Full Text: DOI arXiv
Mukhin, E.; Tarasov, V.; Varchenko, A. Bethe eigenvectors of higher transfer matrices. (English) Zbl 1456.82301 J. Stat. Mech. Theory Exp. 2006, No. 8, Paper No. P08002, 44 p. (2006). MSC: 82B23 81R12 17B37 17B67 PDFBibTeX XMLCite \textit{E. Mukhin} et al., J. Stat. Mech. Theory Exp. 2006, No. 8, Paper No. P08002, 44 p. (2006; Zbl 1456.82301) Full Text: DOI arXiv
Dow, A.; Foda, O. On the domain wall partition functions of level-1 affine \(\mathrm{so}(n)\) vertex models. (English) Zbl 1456.82250 J. Stat. Mech. Theory Exp. 2006, No. 5, Paper No. P05010, 16 p. (2006). MSC: 82B23 17B81 82B20 PDFBibTeX XMLCite \textit{A. Dow} and \textit{O. Foda}, J. Stat. Mech. Theory Exp. 2006, No. 5, Paper No. P05010, 16 p. (2006; Zbl 1456.82250) Full Text: DOI arXiv
Pearce, Paul A.; Rasmussen, Jørgen; Zuber, Jean-Bernard Logarithmic minimal models. (English) Zbl 1456.81217 J. Stat. Mech. Theory Exp. 2006, No. 11, Paper No. P11017, 36 p. (2006). MSC: 81R10 81T40 17B68 17B81 81R12 82B23 PDFBibTeX XMLCite \textit{P. A. Pearce} et al., J. Stat. Mech. Theory Exp. 2006, No. 11, Paper No. P11017, 36 p. (2006; Zbl 1456.81217) Full Text: DOI arXiv
Arnaudon, Daniel; Crampé, N.; Doikou, Anastasia; Frappat, Luc; Ragoucy, Eric Spectrum and Bethe ansatz equations for the \(U_q(\text{gl}(N))\) closed and open spin chains in any representation. (English) Zbl 1115.82005 Ann. Henri Poincaré 7, No. 7-8, 1217-1268 (2006). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 82B23 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Ann. Henri Poincaré 7, No. 7--8, 1217--1268 (2006; Zbl 1115.82005) Full Text: DOI arXiv
Franz, Uwe; Gohm, Rolf Random walks on finite quantum groups. (English) Zbl 1130.81047 Schürmann, Michael (ed.) et al., Quantum independent increment processes. II: Structure of quantum Lévy processes, classical probability, and physics. Lectures given at the school ‘Quantum independent increment processes: Structure and applications to physics’, Greifswald, Germany, March 9–22, 2003. Berlin: Springer (ISBN 3-540-24407-7/pbk). Lecture Notes in Mathematics 1866, 1-32 (2006). Reviewer: Michael Skeide (Campobasso) MSC: 81S25 46L53 60J10 46L55 60G51 20G42 81R50 17B37 82C41 PDFBibTeX XMLCite \textit{U. Franz} and \textit{R. Gohm}, Lect. Notes Math. 1866, 1--32 (2006; Zbl 1130.81047)
Arnaudon, D.; Crampé, N.; Doikou, A.; Frappat, L.; Ragoucy, É. Analytical Bethe ansatz for closed and open \(\text{gl}(\mathcal{N})\)-spin chains in any representation. (English) Zbl 1459.82026 J. Stat. Mech. Theory Exp. 2005, No. 2, Article ID P02007, 28 p. (2005). MSC: 82B20 82B23 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Stat. Mech. Theory Exp. 2005, No. 2, Article ID P02007, 28 p. (2005; Zbl 1459.82026) Full Text: DOI arXiv
Skrypnyk, T. New integrable Gaudin-type systems, classical \(r\)-matrices and quasigraded Lie algebras. (English) Zbl 1123.81369 Phys. Lett., A 334, No. 5-6, 390-399 (2005). MSC: 81R12 17B37 17B80 PDFBibTeX XMLCite \textit{T. Skrypnyk}, Phys. Lett., A 334, No. 5--6, 390--399 (2005; Zbl 1123.81369) Full Text: DOI
Tolstoy, V. N. Hidden property of extended Jordanian twists for Lie superalgebras. (English) Zbl 1161.17322 Rahvar, S. (ed.) et al., Mathematical physics. Proceedings of the 11th regional conference, Tehran, Iran, May 3–6, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-334-2/hbk). 154-156 (2005). MSC: 17B81 81R10 PDFBibTeX XMLCite \textit{V. N. Tolstoy}, in: Mathematical physics. Proceedings of the 11th regional conference, Tehran, Iran, May 3--6, 2004. Hackensack, NJ: World Scientific. 154--156 (2005; Zbl 1161.17322) Full Text: DOI
Rosenhahn, Bodo; Sommer, Gerald Pose estimation in conformal geometric algebra. II: Real-time pose estimation using extended feature concepts. (English) Zbl 1478.68409 J. Math. Imaging Vis. 22, No. 1, 49-70 (2005). MSC: 68T45 17B81 68U05 PDFBibTeX XMLCite \textit{B. Rosenhahn} and \textit{G. Sommer}, J. Math. Imaging Vis. 22, No. 1, 49--70 (2005; Zbl 1478.68409) Full Text: DOI
Zhao, Liu; Liu, Wang-Yun; Yang, Zhan-Ying Generalized Toda mechanics associated with classical Lie algebras and their reductions. (English) Zbl 1167.37373 Commun. Theor. Phys. 41, No. 3, 339-348 (2004). MSC: 37K60 17B80 37J35 81R12 PDFBibTeX XMLCite \textit{L. Zhao} et al., Commun. Theor. Phys. 41, No. 3, 339--348 (2004; Zbl 1167.37373) Full Text: DOI arXiv
Izmest’ev, A. A.; Pogosyan, G. S.; Sissakian, A. N.; Winternitz, P. Contraction and interbases expansions on \(n\)-sphere. (English) Zbl 1067.17502 Kapuscik, Edward (ed.) et al., Quantum theory and symmetries. Proceedings of the 2nd international symposium, Kraków, Poland, July 18–21, 2001. Singapore: World Scientific (ISBN 981-02-4887-3). 389-395 (2002). MSC: 17B20 PDFBibTeX XMLCite \textit{A. A. Izmest'ev} et al., in: Quantum theory and symmetries. Proceedings of the 2nd international symposium, Kraków, Poland, July 18--21, 2001. Singapore: World Scientific. 389--395 (2002; Zbl 1067.17502) Full Text: DOI
Arnaudon, D. RTT presentation of ortho-symplectic super Yangians. Staggered integrable spin chains. (English) Zbl 1050.81033 Czech. J. Phys. 52, No. 11, 1165-1170 (2002). MSC: 81R50 81R12 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon}, Czech. J. Phys. 52, No. 11, 1165--1170 (2002; Zbl 1050.81033) Full Text: DOI
Taylor, Joseph L. Several complex variables with connections to algebraic geometry and Lie groups. (English) Zbl 1002.32001 Graduate Studies in Mathematics. 46. Providence, RI: American Mathematical Society (AMS). xvi, 507 p. (2002). Reviewer: Vasily A.Chernecky (Odessa) MSC: 32-01 14-01 22E10 17B20 22E46 43A80 PDFBibTeX XMLCite \textit{J. L. Taylor}, Several complex variables with connections to algebraic geometry and Lie groups. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1002.32001)
Lyakhovsky, Vladimir D.; Stolin, Alexander; Kulish, Petr P. Chains of Frobenius subalgebras of so\((M)\) and the corresponding twists. (English) Zbl 1032.17018 J. Math. Phys. 42, No. 10, 5006-5019 (2001). MSC: 17B35 81R05 PDFBibTeX XMLCite \textit{V. D. Lyakhovsky} et al., J. Math. Phys. 42, No. 10, 5006--5019 (2001; Zbl 1032.17018) Full Text: DOI arXiv
Haran, Shai The mysteries of real prime. (English) Zbl 1014.11001 London Mathematical Society Monographs. New Series. 25. Oxford: Clarendon Press. xiii, 240 p. (2001). Reviewer: Lawrence Washington (College Park) MSC: 11-02 11M06 11M38 11M26 17B37 22D05 33D80 PDFBibTeX XMLCite \textit{S. Haran}, The mysteries of real prime. Oxford: Clarendon Press (2001; Zbl 1014.11001)
Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander Full chains of twists for orthogonal algebras. (English) Zbl 1050.81563 Czech. J. Phys. 50, No. 11, 1291-1296 (2000). MSC: 81R50 17B37 81-06 81R15 81R25 PDFBibTeX XMLCite \textit{P. P. Kulish} et al., Czech. J. Phys. 50, No. 11, 1291--1296 (2000; Zbl 1050.81563) Full Text: DOI arXiv
Gerdjikov, V. S.; Evstatiev, E. G.; Ivanov, R. I. The complex Toda chains and the simple Lie algebras. II: Explicit solutions and asymptotic behaviour. (English) Zbl 0952.37048 J. Phys. A, Math. Gen. 33, No. 5, 975-1006 (2000). Reviewer: Samir Musayev (Baku) MSC: 37K30 17B81 37K40 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., J. Phys. A, Math. Gen. 33, No. 5, 975--1006 (2000; Zbl 0952.37048) Full Text: DOI
Nepomechie, Rafael I. Nonstandard coproducts and the Izergin-Korepin open spin chain. (English) Zbl 1033.82502 J. Phys. A, Math. Gen. 33, No. 2, L21-L26 (2000). MSC: 82B20 81R50 17B37 PDFBibTeX XMLCite \textit{R. I. Nepomechie}, J. Phys. A, Math. Gen. 33, No. 2, L21--L26 (2000; Zbl 1033.82502) Full Text: DOI arXiv
Repnitskii, V. B. Nilpotency of algebras and identities on subalgebra lattices. (English) Zbl 0962.20018 Kublanovsky, S. (ed.) et al., Semigroups with applications, including semigroup rings. International conference in honour of E. S. Lyapin, St.-Petersburg, Russia, June 19-30, 1995. St.-Petersburg: Severny Ochag, 317-330 (1999). Reviewer: S.Oates-Williams (St.Lucia) MSC: 20E10 08B15 20E15 06B15 06B20 08A30 16N40 17B30 PDFBibTeX XMLCite \textit{V. B. Repnitskii}, in: Semigroups with applications, including semigroup rings. International conference in honour of E. S. Lyapin, St. -Petersburg, Russia, June 19--30, 1995. St.-Petersburg: Severny Ochag. 317--330 (1999; Zbl 0962.20018)
van Leeuwen, Marc A. A. Edge sequences, ribbon tableaux, and an action of affine permutations. (English) Zbl 0918.05102 Eur. J. Comb. 20, No. 2, 179-195 (1999). Reviewer: D.M.Bressoud (St.Paul) MSC: 05E10 17B10 PDFBibTeX XMLCite \textit{M. A. A. van Leeuwen}, Eur. J. Comb. 20, No. 2, 179--195 (1999; Zbl 0918.05102) Full Text: DOI Link
Dargis, P.; Maassarani, Z. Fermionization and Hubbard models. (English) Zbl 0953.82008 Nucl. Phys., B 535, No. 3, 681-708 (1998). MSC: 82B20 82B23 81R05 17B81 PDFBibTeX XMLCite \textit{P. Dargis} and \textit{Z. Maassarani}, Nucl. Phys., B 535, No. 3, 681--708 (1998; Zbl 0953.82008) Full Text: DOI arXiv
Martin, Paul P.; Woodcock, David On quantum spin-chain spectra and the structure of Hecke algebras and \(q\)-groups at roots of unity. (English) Zbl 0953.82014 J. Phys. A, Math. Gen. 31, No. 50, 10131-10154 (1998). MSC: 82B20 81R20 17B37 PDFBibTeX XMLCite \textit{P. P. Martin} and \textit{D. Woodcock}, J. Phys. A, Math. Gen. 31, No. 50, 10131--10154 (1998; Zbl 0953.82014) Full Text: DOI
Ballesteros, Angel; Ragnisco, Orlando A systematic construction of completely integrable Hamiltonians from coalgebras. (English) Zbl 0906.35100 J. Phys. A, Math. Gen. 31, No. 16, 3791-3813 (1998). MSC: 35Q58 16W30 17B37 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} and \textit{O. Ragnisco}, J. Phys. A, Math. Gen. 31, No. 16, 3791--3813 (1998; Zbl 0906.35100) Full Text: DOI arXiv
Martin, Paul P.; Westbury, Bruce W. On quantum spin-chain spectra and the representation theory of Hecke algebras by augmented braid diagrams. (English) Zbl 0928.20006 J. Phys. A, Math. Gen. 30, No. 15, 5471-5495 (1997). MSC: 20C08 17B37 20C30 16G99 81R50 82B23 PDFBibTeX XMLCite \textit{P. P. Martin} and \textit{B. W. Westbury}, J. Phys. A, Math. Gen. 30, No. 15, 5471--5495 (1997; Zbl 0928.20006) Full Text: DOI
Barnea, Yiftach; Shalev, Aner Hausdorff dimension, pro-\(p\) groups, and Kac-Moody algebras. (English) Zbl 0892.20020 Trans. Am. Math. Soc. 349, No. 12, 5073-5091 (1997). Reviewer: P.Zalesskij (Wien) MSC: 20E18 28A78 17B67 20F40 22C05 PDFBibTeX XMLCite \textit{Y. Barnea} and \textit{A. Shalev}, Trans. Am. Math. Soc. 349, No. 12, 5073--5091 (1997; Zbl 0892.20020) Full Text: DOI
Lawrence, Ruth Yang-Baxter type equations and posets of maximal chains. (English) Zbl 0922.52003 J. Comb. Theory, Ser. A 79, No. 1, 68-104 (1997). Reviewer: M.J.Falk (Flagstaff) MSC: 52C35 06A07 17B37 PDFBibTeX XMLCite \textit{R. Lawrence}, J. Comb. Theory, Ser. A 79, No. 1, 68--104 (1997; Zbl 0922.52003) Full Text: DOI
Jurčo, B.; Schlieker, M. Quantized Lax equations and their solutions. (English) Zbl 0882.58019 Commun. Math. Phys. 185, No. 2, 397-410 (1997). Reviewer: V.Oproiu (Iaşi) MSC: 53D50 37J35 37K10 17B37 81S10 PDFBibTeX XMLCite \textit{B. Jurčo} and \textit{M. Schlieker}, Commun. Math. Phys. 185, No. 2, 397--410 (1997; Zbl 0882.58019) Full Text: DOI arXiv
Alimohammadi, Masoud Quantum chains with \(GL_ q(2)\) symmetry. (English) Zbl 0860.17026 J. Math. Phys. 37, No. 1, 1-5 (1996). MSC: 17B37 82B23 81R50 PDFBibTeX XMLCite \textit{M. Alimohammadi}, J. Math. Phys. 37, No. 1, 1--5 (1996; Zbl 0860.17026) Full Text: DOI arXiv