Montani, H. Lagrangian and orthogonal splittings, quasitriangular Lie bialgebras, and almost complex product structures. (English) Zbl 1512.17037 J. Math. Phys. 64, No. 5, Article ID 053505, 23 p. (2023). MSC: 17B62 17B05 17B10 17B81 PDFBibTeX XMLCite \textit{H. Montani}, J. Math. Phys. 64, No. 5, Article ID 053505, 23 p. (2023; Zbl 1512.17037) Full Text: DOI arXiv
Tao, W.-Q. On representations of the centrally extended Heisenberg double of \(SL_2\). (English) Zbl 1469.81037 J. Math. Phys. 62, No. 7, Article ID 071702, 23 p. (2021). MSC: 81S05 20C07 16U70 19C09 PDFBibTeX XMLCite \textit{W. Q. Tao}, J. Math. Phys. 62, No. 7, Article ID 071702, 23 p. (2021; Zbl 1469.81037) Full Text: DOI
Fairon, M.; Fehér, L. A decoupling property of some Poisson structures on \(\operatorname{Mat}_{n \times d}(\mathbb{C}) \times \operatorname{Mat}_{d \times n}(\mathbb{C})\) supporting \(\mathrm{GL}(n, \mathbb{C}) \times \mathrm{GL}(d, \mathbb{C})\) Poisson-Lie symmetry. (English) Zbl 1492.53095 J. Math. Phys. 62, No. 3, Article ID 033512, 14 p. (2021). Reviewer: Luca Vitagliano (Fisciano) MSC: 53D17 17B63 PDFBibTeX XMLCite \textit{M. Fairon} and \textit{L. Fehér}, J. Math. Phys. 62, No. 3, Article ID 033512, 14 p. (2021; Zbl 1492.53095) Full Text: DOI arXiv
Bizi, Nadir; Brouder, Christian; Besnard, Fabien Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics. (English) Zbl 1391.81098 J. Math. Phys. 59, No. 6, 062303, 12 p. (2018). MSC: 81R60 14A22 81R05 81V10 81V25 PDFBibTeX XMLCite \textit{N. Bizi} et al., J. Math. Phys. 59, No. 6, 062303, 12 p. (2018; Zbl 1391.81098) Full Text: DOI arXiv HAL
Ikeda, Noriaki; Xu, Xiaomeng Canonical functions, differential graded symplectic pairs in supergeometry, and Alexandrov-Kontsevich-Schwartz-Zaboronsky sigma models with boundaries. (English) Zbl 1305.81107 J. Math. Phys. 55, No. 11, 113505, 21 p. (2014). MSC: 81T10 58A50 70S20 17B63 PDFBibTeX XMLCite \textit{N. Ikeda} and \textit{X. Xu}, J. Math. Phys. 55, No. 11, 113505, 21 p. (2014; Zbl 1305.81107) Full Text: DOI arXiv Link
Montani, H.; Zuccalli, M. Dirac approach to constrained submanifolds in a double loop group: from Wess-Zumino-Novikov-Witten to Poisson-Lie {\(\sigma\)}-model. (English) Zbl 1300.81069 J. Math. Phys. 55, No. 9, 093504, 19 p. (2014). Reviewer: Jochen Zahn (Leipzig) MSC: 81T40 22E67 81T70 37A20 14D21 81R12 22E70 70H45 PDFBibTeX XMLCite \textit{H. Montani} and \textit{M. Zuccalli}, J. Math. Phys. 55, No. 9, 093504, 19 p. (2014; Zbl 1300.81069) Full Text: DOI arXiv Link
Doliwa, Adam; Sergeev, Sergey M. The pentagon relation and incidence geometry. (English) Zbl 1295.51004 J. Math. Phys. 55, No. 6, 063504, 21 p. (2014). MSC: 51A45 12E15 35Q53 81S05 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{S. M. Sergeev}, J. Math. Phys. 55, No. 6, 063504, 21 p. (2014; Zbl 1295.51004) Full Text: DOI arXiv
Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi Explicit formulas for noncommutative deformations of \(\mathbb{C}{P^N}\) and \(\mathbb{C}{H^N}\). (English) Zbl 1276.81084 J. Math. Phys. 53, No. 7, 073502, 16 p. (2012). MSC: 81S10 53D55 46L65 32Q15 PDFBibTeX XMLCite \textit{A. Sako} et al., J. Math. Phys. 53, No. 7, 073502, 16 p. (2012; Zbl 1276.81084) Full Text: DOI arXiv
Capriotti, S.; Montani, H. Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group. (English) Zbl 1317.53109 J. Math. Phys. 52, No. 7, 073504, 33 p. (2011). MSC: 53D20 37J35 37K10 58A30 70G65 70H45 PDFBibTeX XMLCite \textit{S. Capriotti} and \textit{H. Montani}, J. Math. Phys. 52, No. 7, 073504, 33 p. (2011; Zbl 1317.53109) Full Text: DOI arXiv Link
Kouloukas, Theodoros E.; Papageorgiou, Vassilios G. Poisson Yang-Baxter maps with binomial Lax matrices. (English) Zbl 1317.37091 J. Math. Phys. 52, No. 7, 073502, 18 p. (2011). MSC: 37K35 81R12 16T25 15A16 53D30 53D22 37K10 PDFBibTeX XMLCite \textit{T. E. Kouloukas} and \textit{V. G. Papageorgiou}, J. Math. Phys. 52, No. 7, 073502, 18 p. (2011; Zbl 1317.37091) Full Text: DOI arXiv
Foth, Philip; Lamb, McKenzie The Poisson geometry of \(\mathrm{SU}(1,1)\). (English) Zbl 1309.53066 J. Math. Phys. 51, No. 9, 092701, 10 p. (2010). MSC: 53D17 22E30 17B63 PDFBibTeX XMLCite \textit{P. Foth} and \textit{M. Lamb}, J. Math. Phys. 51, No. 9, 092701, 10 p. (2010; Zbl 1309.53066) Full Text: DOI arXiv
Panaite, Florin; Van Oystaeyen, Freddy Quasi-Hopf algebras and representations of octonions and other quasialgebras. (English) Zbl 1071.17016 J. Math. Phys. 45, No. 10, 3912-3929 (2004). MSC: 17B37 16W30 PDFBibTeX XMLCite \textit{F. Panaite} and \textit{F. Van Oystaeyen}, J. Math. Phys. 45, No. 10, 3912--3929 (2004; Zbl 1071.17016) Full Text: DOI Link
Gateva-Ivanova, Tatiana A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1065.16037 J. Math. Phys. 45, No. 10, 3828-3858 (2004). MSC: 16T25 16T20 16S37 16S36 20M25 PDFBibTeX XMLCite \textit{T. Gateva-Ivanova}, J. Math. Phys. 45, No. 10, 3828--3858 (2004; Zbl 1065.16037) Full Text: DOI arXiv
Foth, Philip Bruhat Poisson structure on \({\mathbb CP}^n\) and integrable systems. (English) Zbl 1059.53065 J. Math. Phys. 43, No. 6, 3124-3132 (2002). MSC: 53D17 37J05 37J35 PDFBibTeX XMLCite \textit{P. Foth}, J. Math. Phys. 43, No. 6, 3124--3132 (2002; Zbl 1059.53065) Full Text: DOI
Heller, Michael; Sasin, Wiesław; Lambert, Dominique Groupoid approach to noncommutative quantization of gravity. (English) Zbl 0892.58006 J. Math. Phys. 38, No. 11, 5840-5853 (1997). MSC: 46L85 46L87 83C45 46L89 PDFBibTeX XMLCite \textit{M. Heller} et al., J. Math. Phys. 38, No. 11, 5840--5853 (1997; Zbl 0892.58006) Full Text: DOI arXiv