Bardet, Ivan; Capel, Ángela; Gao, Li; Lucia, Angelo; Pérez-García, David; Rouzé, Cambyse Entropy decay for Davies semigroups of a one dimensional quantum lattice. (English) Zbl 07804747 Commun. Math. Phys. 405, No. 2, Paper No. 42, 51 p. (2024). MSC: 81P17 82B20 70H05 16W22 80A10 47H09 PDFBibTeX XMLCite \textit{I. Bardet} et al., Commun. Math. Phys. 405, No. 2, Paper No. 42, 51 p. (2024; Zbl 07804747) Full Text: DOI arXiv
Haah, Jeongwan Invertible subalgebras. (English) Zbl 07746826 Commun. Math. Phys. 403, No. 2, 661-698 (2023). MSC: 81Q35 46J30 46B07 81V27 70H05 20K01 37B15 PDFBibTeX XMLCite \textit{J. Haah}, Commun. Math. Phys. 403, No. 2, 661--698 (2023; Zbl 07746826) Full Text: DOI arXiv
Jia, Zhian; Tan, Sheng; Kaszlikowski, Dagomir; Chang, Liang On weak Hopf symmetry and weak Hopf quantum double model. (English) Zbl 07732085 Commun. Math. Phys. 402, No. 3, 3045-3107 (2023). MSC: 81T10 81R05 20C33 16T05 22E70 81V27 81R40 18M15 57R67 16D90 81Q35 PDFBibTeX XMLCite \textit{Z. Jia} et al., Commun. Math. Phys. 402, No. 3, 3045--3107 (2023; Zbl 07732085) Full Text: DOI arXiv
Haah, Jeongwan; Fidkowski, Lukasz; Hastings, Matthew B. Nontrivial quantum cellular automata in higher dimensions. (English) Zbl 1518.81034 Commun. Math. Phys. 398, No. 1, 469-540 (2023). MSC: 81P68 68Q80 81Q35 68Q12 81R25 81R05 PDFBibTeX XMLCite \textit{J. Haah} et al., Commun. Math. Phys. 398, No. 1, 469--540 (2023; Zbl 1518.81034) Full Text: DOI arXiv
Keating, David; Reshetikhin, Nicolai; Sridhar, Ananth Integrability of limit shapes of the inhomogeneous six vertex model. (English) Zbl 07509384 Commun. Math. Phys. 391, No. 3, 1181-1207 (2022). MSC: 82B20 82B23 81R12 81U40 47A40 16T25 37K15 PDFBibTeX XMLCite \textit{D. Keating} et al., Commun. Math. Phys. 391, No. 3, 1181--1207 (2022; Zbl 07509384) Full Text: DOI arXiv
Lindsay, J. Martin; Wills, Stephen J. Quantum stochastic cocycles and completely bounded semigroups on operator spaces. II. (English) Zbl 1461.81048 Commun. Math. Phys. 383, No. 1, 153-199 (2021). MSC: 81Q35 05C05 34B45 34L05 81S25 60G20 60J25 60B15 60H10 81P20 PDFBibTeX XMLCite \textit{J. M. Lindsay} and \textit{S. J. Wills}, Commun. Math. Phys. 383, No. 1, 153--199 (2021; Zbl 1461.81048) Full Text: DOI arXiv
Chen, Jing-Yuan Abelian topological order on lattice enriched with electromagnetic background. (English) Zbl 1465.81079 Commun. Math. Phys. 381, No. 1, 293-377 (2021). Reviewer: Eric Stachura (Marietta) MSC: 81V70 81V10 81Q35 06B30 81Q80 81R25 81S40 82D25 20H15 PDFBibTeX XMLCite \textit{J.-Y. Chen}, Commun. Math. Phys. 381, No. 1, 293--377 (2021; Zbl 1465.81079) Full Text: DOI arXiv
Borot, Gaëtan; Garcia-Failde, Elba Simple maps, Hurwitz numbers, and topological recursion. (English) Zbl 1457.37055 Commun. Math. Phys. 380, No. 2, 581-654 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 37E15 05C30 05C10 53D42 15B52 57K20 PDFBibTeX XMLCite \textit{G. Borot} and \textit{E. Garcia-Failde}, Commun. Math. Phys. 380, No. 2, 581--654 (2020; Zbl 1457.37055) 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
Garbali, Alexandr; Wheeler, Michael Modified Macdonald polynomials and integrability. (English) Zbl 1436.82006 Commun. Math. Phys. 374, No. 3, 1809-1876 (2020). MSC: 82B20 82B05 33D80 PDFBibTeX XMLCite \textit{A. Garbali} and \textit{M. Wheeler}, Commun. Math. Phys. 374, No. 3, 1809--1876 (2020; Zbl 1436.82006) Full Text: DOI arXiv
Ogata, Yoshiko A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains. (English) Zbl 1435.81074 Commun. Math. Phys. 374, No. 2, 705-734 (2020). MSC: 81Q10 82B20 81R05 81R15 81R25 46L05 46L10 46L55 46L40 PDFBibTeX XMLCite \textit{Y. Ogata}, Commun. Math. Phys. 374, No. 2, 705--734 (2020; Zbl 1435.81074) Full Text: DOI arXiv
Musto, Benjamin; Reutter, David; Verdon, Dominic The Morita theory of quantum graph isomorphisms. (English) Zbl 1405.05119 Commun. Math. Phys. 365, No. 2, 797-845 (2019). MSC: 05C60 05C57 05C15 91A43 17B37 81P99 PDFBibTeX XMLCite \textit{B. Musto} et al., Commun. Math. Phys. 365, No. 2, 797--845 (2019; Zbl 1405.05119) Full Text: DOI arXiv
Kubota, Yosuke Controlled topological phases and bulk-edge correspondence. (English) Zbl 1357.82013 Commun. Math. Phys. 349, No. 2, 493-525 (2017). MSC: 82B20 81R05 19L50 46M20 81V70 PDFBibTeX XMLCite \textit{Y. Kubota}, Commun. Math. Phys. 349, No. 2, 493--525 (2017; Zbl 1357.82013) Full Text: DOI arXiv
Di Francesco, Philippe \(T\)-systems, networks and dimers. (English) Zbl 1297.05246 Commun. Math. Phys. 331, No. 3, 1237-1270 (2014). MSC: 05E10 05C25 PDFBibTeX XMLCite \textit{P. Di Francesco}, Commun. Math. Phys. 331, No. 3, 1237--1270 (2014; Zbl 1297.05246) Full Text: DOI arXiv
Wheeler, M. Scalar products in generalized models with \(\mathrm{SU}(3)\)-symmetry. (English) Zbl 1303.82014 Commun. Math. Phys. 327, No. 3, 737-777 (2014). Reviewer: Nenad Manojlović (Faro) MSC: 82B23 82B20 81R12 PDFBibTeX XMLCite \textit{M. Wheeler}, Commun. Math. Phys. 327, No. 3, 737--777 (2014; Zbl 1303.82014) Full Text: DOI arXiv
Tsilevich, N. V.; Vershik, A. M. Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. (English) Zbl 1306.20007 Commun. Math. Phys. 327, No. 3, 873-885 (2014). MSC: 20C32 20C35 82B20 PDFBibTeX XMLCite \textit{N. V. Tsilevich} and \textit{A. M. Vershik}, Commun. Math. Phys. 327, No. 3, 873--885 (2014; Zbl 1306.20007) Full Text: DOI arXiv
Di Francesco, Philippe; Kedem, Rinat \(Q\)-systems, heaps, paths and cluster positivity. (English) Zbl 1194.05165 Commun. Math. Phys. 293, No. 3, 727-802 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 05E15 13F60 17B37 82C20 37A60 PDFBibTeX XMLCite \textit{P. Di Francesco} and \textit{R. Kedem}, Commun. Math. Phys. 293, No. 3, 727--802 (2010; Zbl 1194.05165) Full Text: DOI arXiv
Zinn-Justin, P. Combinatorial point for fused loop models. (English) Zbl 1185.82028 Commun. Math. Phys. 272, No. 3, 661-682 (2007). MSC: 82B41 05A15 05C90 17B37 82B20 PDFBibTeX XMLCite \textit{P. Zinn-Justin}, Commun. Math. Phys. 272, No. 3, 661--682 (2007; Zbl 1185.82028) Full Text: DOI arXiv
Niedermaier, M.; Seiler, E. Structure of the space of ground states in systems with non-amenable symmetries. (English) Zbl 1116.22005 Commun. Math. Phys. 270, No. 2, 373-443 (2007). MSC: 22E70 81R05 81R40 82B20 PDFBibTeX XMLCite \textit{M. Niedermaier} and \textit{E. Seiler}, Commun. Math. Phys. 270, No. 2, 373--443 (2007; Zbl 1116.22005) Full Text: DOI arXiv
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V. Painlevé VI, rigid tops and reflection equation. (English) Zbl 1116.37038 Commun. Math. Phys. 268, No. 1, 67-103 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J35 70E05 81R12 82B20 PDFBibTeX XMLCite \textit{A. M. Levin} et al., Commun. Math. Phys. 268, No. 1, 67--103 (2006; Zbl 1116.37038) Full Text: DOI arXiv
Adler, M.; van Moerbeke, P. Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice. (English) Zbl 1090.37051 Commun. Math. Phys. 237, No. 3, 397-440 (2003). MSC: 37K60 17B68 37N20 81R10 82B20 47B35 60C05 PDFBibTeX XMLCite \textit{M. Adler} and \textit{P. van Moerbeke}, Commun. Math. Phys. 237, No. 3, 397--440 (2003; Zbl 1090.37051) Full Text: DOI arXiv
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R. On the Sutherland spin model of \(B_N\) type and its associated spin chain. (English) Zbl 1013.82007 Commun. Math. Phys. 233, No. 2, 191-209 (2003). MSC: 82B20 37J35 39A70 81R12 82B23 PDFBibTeX XMLCite \textit{F. Finkel} et al., Commun. Math. Phys. 233, No. 2, 191--209 (2003; Zbl 1013.82007) Full Text: DOI arXiv
Krichever, I.; Phong, D. H. Spin chain models with spectral curves from M theory. (English) Zbl 0992.37062 Commun. Math. Phys. 213, No. 3, 539-574 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 37N20 81R12 81T60 82B20 82B23 PDFBibTeX XMLCite \textit{I. Krichever} and \textit{D. H. Phong}, Commun. Math. Phys. 213, No. 3, 539--574 (2000; Zbl 0992.37062) Full Text: DOI arXiv
Connes, Alain; Kreimer, Dirk Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem. (English) Zbl 1032.81026 Commun. Math. Phys. 210, No. 1, 249-273 (2000). MSC: 81T18 16W30 46N50 81R50 22E70 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Commun. Math. Phys. 210, No. 1, 249--273 (2000; Zbl 1032.81026) Full Text: DOI arXiv
Takebe, Takashi A system of difference equations with elliptic coefficients and Bethe vectors. (English) Zbl 0864.17018 Commun. Math. Phys. 183, No. 1, 161-181 (1997). MSC: 17B37 33D80 82B20 PDFBibTeX XMLCite \textit{T. Takebe}, Commun. Math. Phys. 183, No. 1, 161--181 (1997; Zbl 0864.17018) Full Text: DOI arXiv
Zuber, J.-B. Graphs and reflection groups. (English) Zbl 0942.20018 Commun. Math. Phys. 179, No. 2, 265-294 (1996). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 05C25 17B81 81T40 81T45 PDFBibTeX XMLCite \textit{J. B. Zuber}, Commun. Math. Phys. 179, No. 2, 265--294 (1996; Zbl 0942.20018) Full Text: DOI arXiv
Beliakova, Anna; Durhuus, Bergfinnur Topological quantum field theory and invariants of graphs for quantum groups. (English) Zbl 0828.57012 Commun. Math. Phys. 167, No. 2, 395-429 (1995). MSC: 57N10 81T40 81R50 PDFBibTeX XMLCite \textit{A. Beliakova} and \textit{B. Durhuus}, Commun. Math. Phys. 167, No. 2, 395--429 (1995; Zbl 0828.57012) Full Text: DOI arXiv
Cremmer, Eugène; Gervais, Jean-Loup; Roussel, Jean-François The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap. (English) Zbl 0796.17030 Commun. Math. Phys. 161, No. 3, 597-630 (1994). MSC: 17B81 81R10 81R50 82B20 PDFBibTeX XMLCite \textit{E. Cremmer} et al., Commun. Math. Phys. 161, No. 3, 597--630 (1994; Zbl 0796.17030) Full Text: DOI arXiv
Degiovanni, P. Moore and Seiberg’s equations and 3D topological field theory. (English) Zbl 0753.57010 Commun. Math. Phys. 145, No. 3, 459-505 (1992). Reviewer: P.Degiovanni MSC: 57N10 81R50 82B23 81T99 PDFBibTeX XMLCite \textit{P. Degiovanni}, Commun. Math. Phys. 145, No. 3, 459--505 (1992; Zbl 0753.57010) Full Text: DOI
Cheng, Y.; Ge, M. L.; Xue, K. Yang-Baxterization of braid group representations. (English) Zbl 0716.57007 Commun. Math. Phys. 136, No. 1, 195-208 (1991). MSC: 57M25 81T25 82B23 17B37 82B20 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Commun. Math. Phys. 136, No. 1, 195--208 (1991; Zbl 0716.57007) Full Text: DOI
Bazhanov, V. V.; Kashaev, R. M.; Mangazeev, V. V.; Stroganov, Yu. G. \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model. (English) Zbl 0737.17012 Commun. Math. Phys. 138, No. 2, 393-408 (1991). Reviewer: P.Kosiński (Łódź) MSC: 17B81 82B20 81R50 82B23 PDFBibTeX XMLCite \textit{V. V. Bazhanov} et al., Commun. Math. Phys. 138, No. 2, 393--408 (1991; Zbl 0737.17012) Full Text: DOI
Reshetikhin, N. Yu.; Turaev, V. G. Ribbon graphs and their invariants derived from quantum groups. (English) Zbl 0768.57003 Commun. Math. Phys. 127, No. 1, 1-26 (1990). Reviewer: J.H.Przytycki (Riverside) MSC: 57M25 81R05 17B37 81T40 16W30 PDFBibTeX XMLCite \textit{N. Yu. Reshetikhin} and \textit{V. G. Turaev}, Commun. Math. Phys. 127, No. 1, 1--26 (1990; Zbl 0768.57003) Full Text: DOI
Duffield, N. G. Classical and thermodynamic limits for generalised quantum spin systems. (English) Zbl 0724.22022 Commun. Math. Phys. 127, No. 1, 27-39 (1990). Reviewer: M.Monastyrsky (Moskva) MSC: 22E70 82C10 82C20 58Z05 22E46 82B30 PDFBibTeX XMLCite \textit{N. G. Duffield}, Commun. Math. Phys. 127, No. 1, 27--39 (1990; Zbl 0724.22022) Full Text: DOI
Saleur, H. Zeroes of chromatic polynomials: A new approach to Beraha conjecture using quantum groups. (English) Zbl 0708.05024 Commun. Math. Phys. 132, No. 3, 657-679 (1990). MSC: 05C15 82B41 17B37 PDFBibTeX XMLCite \textit{H. Saleur}, Commun. Math. Phys. 132, No. 3, 657--679 (1990; Zbl 0708.05024) Full Text: DOI
Lerner, E. Y.; Missarov, M. D. p-adic Feynman and string amplitudes. (English) Zbl 0671.22011 Commun. Math. Phys. 121, No. 1, 35-48 (1989). Reviewer: P.Maslanka MSC: 22E70 11F33 81Q30 83E15 58J50 22E50 53C80 74K05 11S80 81T17 PDFBibTeX XMLCite \textit{E. Y. Lerner} and \textit{M. D. Missarov}, Commun. Math. Phys. 121, No. 1, 35--48 (1989; Zbl 0671.22011) Full Text: DOI
Luescher, M. Topology of lattice gauge fields. (English) Zbl 0505.58020 Commun. Math. Phys. 85, 39-48 (1982). MSC: 53D50 53B50 82B20 22E70 PDFBibTeX XMLCite \textit{M. Luescher}, Commun. Math. Phys. 85, 39--48 (1982; Zbl 0505.58020) Full Text: DOI