Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021; Zbl 1519.81276) Full Text: DOI arXiv
Crampé, N.; Poulain d’Andecy, L. Baxterisation of the fused Hecke algebra and \(R\)-matrices with \(gl(N)\)-symmetry. (English) Zbl 1516.16031 Lett. Math. Phys. 111, No. 4, Paper No. 92, 21 p. (2021). Reviewer: Takeo Kojima (Yonezawa) MSC: 16T25 17B38 20C08 81R50 PDFBibTeX XMLCite \textit{N. Crampé} and \textit{L. Poulain d'Andecy}, Lett. Math. Phys. 111, No. 4, Paper No. 92, 21 p. (2021; Zbl 1516.16031) Full Text: DOI arXiv
Caudrelier, Vincent; Crampé, Nicolas New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method. (English) Zbl 1430.37070 Nucl. Phys., B 946, Article ID 114720, 33 p. (2019). MSC: 37K10 37K35 37K20 37K60 14J33 35C08 PDFBibTeX XMLCite \textit{V. Caudrelier} and \textit{N. Crampé}, Nucl. Phys., B 946, Article ID 114720, 33 p. (2019; Zbl 1430.37070) Full Text: DOI arXiv
Crampe, N.; Ragoucy, E.; Vanicat, M. Back to Baxterisation. (English) Zbl 1408.81014 Commun. Math. Phys. 365, No. 3, 1079-1090 (2019). MSC: 81R12 81V70 20C08 16T25 20F36 17B81 PDFBibTeX XMLCite \textit{N. Crampe} et al., Commun. Math. Phys. 365, No. 3, 1079--1090 (2019; Zbl 1408.81014) Full Text: DOI arXiv
Baseilhac, Pascal; Belliard, Samuel; Crampé, Nicolas FRT presentation of the Onsager algebras. (English) Zbl 1398.81128 Lett. Math. Phys. 108, No. 10, 2189-2212 (2018). MSC: 81R50 81R10 81U15 81R12 17B37 16T25 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Lett. Math. Phys. 108, No. 10, 2189--2212 (2018; Zbl 1398.81128) Full Text: DOI arXiv
Crampe, N.; Frappat, L.; Ragoucy, E.; Vanicat, M. A new braid-like algebra for Baxterisation. (English) Zbl 1357.81109 Commun. Math. Phys. 349, No. 1, 271-283 (2017). MSC: 81R12 81V70 17B81 16T25 20F36 PDFBibTeX XMLCite \textit{N. Crampe} et al., Commun. Math. Phys. 349, No. 1, 271--283 (2017; Zbl 1357.81109) Full Text: DOI arXiv
Crampé, N.; Frappat, L.; Ragoucy, E.; Vanicat, M. 3-state Hamiltonians associated to solvable 33-vertex models. (English) Zbl 1356.82014 J. Math. Phys. 57, No. 9, 093504, 11 p. (2016). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B23 82B20 16T25 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Math. Phys. 57, No. 9, 093504, 11 p. (2016; Zbl 1356.82014) Full Text: DOI arXiv
Crampe, N.; Ragoucy, E.; Vanicat, M. Integrable approach to simple exclusion processes with boundaries. Review and progress. (English) Zbl 1456.81267 J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11032, 42 p. (2014). MSC: 81R50 60K35 81R12 82B23 PDFBibTeX XMLCite \textit{N. Crampe} et al., J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11032, 42 p. (2014; Zbl 1456.81267) Full Text: DOI arXiv
Belliard, S.; Crampé, N. Coideal algebras from twisted Manin triples. (English) Zbl 1245.81059 J. Geom. Phys. 62, No. 10, 2009-2023 (2012). MSC: 81R50 17B37 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. Crampé}, J. Geom. Phys. 62, No. 10, 2009--2023 (2012; Zbl 1245.81059) Full Text: DOI arXiv
Belliard, S.; Crampé, N.; Ragoucy, É. The scattering matrix for a general \(gl(2)\) spin chain. (English) Zbl 1456.82093 J. Stat. Mech. Theory Exp. 2009, No. 12, Paper No. P12003, 29 p. (2009). MSC: 82B20 82B23 81R12 81R50 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Stat. Mech. Theory Exp. 2009, No. 12, Paper No. P12003, 29 p. (2009; Zbl 1456.82093) Full Text: DOI arXiv
Crampé, N.; Frappat, L.; Ragoucy, É. The thermodynamical limit of general \(gl(N)\) spin chains. II: Excited states and energies. (English) Zbl 1456.82108 J. Stat. Mech. Theory Exp. 2008, No. 1, Paper No. P01015, 30 p. (2008). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Stat. Mech. Theory Exp. 2008, No. 1, Paper No. P01015, 30 p. (2008; Zbl 1456.82108) Full Text: DOI arXiv
Crampé, N.; Frappat, L.; Ragoucy, É. The thermodynamical limit of general \(gl(N)\) spin chains: the vacuum state and densities. (English) Zbl 1456.82107 J. Stat. Mech. Theory Exp. 2007, No. 3, Paper No. P03014, 29 p. (2007). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Stat. Mech. Theory Exp. 2007, No. 3, Paper No. P03014, 29 p. (2007; Zbl 1456.82107) Full Text: DOI arXiv
Arnaudon, D.; Doikou, A.; Frappat, L.; Ragoucy, E.; Crampe, N. Analytical Bethe ansatz in \(\text{gl}(N)\) spin chains. (English) Zbl 1115.82004 Czech. J. Phys. 56, No. 2, 141-148 (2006). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Czech. J. Phys. 56, No. 2, 141--148 (2006; Zbl 1115.82004) Full Text: DOI arXiv
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
Arnaudon, D.; Avan, J.; Crampé, N.; Doikou, A.; Frappat, L.; Ragoucy, E. Bethe ansatz equations and exact s matrices for the \(\text{Osp}(M|2n)\) open super-spin chain. (English) Zbl 1149.82313 Nucl. Phys., B 687, No. 3, 257-278 (2004). MSC: 82B23 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Nucl. Phys., B 687, No. 3, 257--278 (2004; Zbl 1149.82313) Full Text: DOI arXiv
Crampé, N. Hopf structure of the Yangian \(Y(\text{sl}_ n)\) in the Drinfel’d realization. (English) Zbl 1070.17004 J. Math. Phys. 45, No. 1, 434-447 (2004). MSC: 17B37 16W30 81R50 82C23 PDFBibTeX XMLCite \textit{N. Crampé}, J. Math. Phys. 45, No. 1, 434--447 (2004; Zbl 1070.17004) Full Text: DOI arXiv
Arnaudon, D.; Avan, J.; Crampé, N.; Frappat, L.; Ragoucy, E. \(R\)-matrix presentation for super-Yangians \(Y(\text{osp}(m|2n))\). (English) Zbl 1061.17014 J. Math. Phys. 44, No. 1, 302-308 (2003). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Math. Phys. 44, No. 1, 302--308 (2003; Zbl 1061.17014) Full Text: DOI arXiv
Arnaudon, D.; Avan, J.; Crampé, N.; Doikou, A.; Frappat, L.; Ragoucy, E. Classification of reflection matrices related to (super-)Yangians and application to open spin chain models. (English) Zbl 1094.81032 Nucl. Phys., B 668, No. 3, 469-505 (2003). MSC: 81R50 82C20 82C10 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Nucl. Phys., B 668, No. 3, 469--505 (2003; Zbl 1094.81032) Full Text: DOI arXiv