Abedin, Raschid; Maximov, Stepan; Stolin, Alexander; Zelmanov, Efim Topological Lie bialgebras, Manin triples and their classification over \(g[[x]]\). (English) Zbl 07793841 Commun. Math. Phys. 405, No. 1, Paper No. 5, 53 p. (2024). MSC: 17-XX 16-XX PDFBibTeX XMLCite \textit{R. Abedin} et al., Commun. Math. Phys. 405, No. 1, Paper No. 5, 53 p. (2024; Zbl 07793841) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Mercati, Flavio Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces. (English) Zbl 1519.83070 J. Phys. A, Math. Theor. 54, No. 31, Article ID 315203, 27 p. (2021). MSC: 83C65 17B37 53D17 83C45 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Phys. A, Math. Theor. 54, No. 31, Article ID 315203, 27 p. (2021; Zbl 1519.83070) Full Text: DOI arXiv
Abedin, Raschid; Burban, Igor Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. (English) Zbl 1502.14083 Commun. Math. Phys. 387, No. 2, 1051-1109 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 17B62 22E70 PDFBibTeX XMLCite \textit{R. Abedin} and \textit{I. Burban}, Commun. Math. Phys. 387, No. 2, 1051--1109 (2021; Zbl 1502.14083) Full Text: DOI arXiv
Abedin, Raschid; Maximov, Stepan Classification of classical twists of the standard Lie bialgebra structure on a loop algebra. (English) Zbl 1470.16067 J. Geom. Phys. 164, Article ID 104149, 26 p. (2021). MSC: 16T25 17B62 14H60 PDFBibTeX XMLCite \textit{R. Abedin} and \textit{S. Maximov}, J. Geom. Phys. 164, Article ID 104149, 26 p. (2021; Zbl 1470.16067) Full Text: DOI arXiv
Karolinsky, E.; Stolin, A.; Tarasov, V. Equivariant quantization of Poisson homogeneous spaces and Kostant’s problem. (English) Zbl 1368.17018 J. Algebra 409, 362-381 (2014). MSC: 17B37 17B10 53D17 53D55 PDFBibTeX XMLCite \textit{E. Karolinsky} et al., J. Algebra 409, 362--381 (2014; Zbl 1368.17018) Full Text: DOI arXiv
Pop, Iulia; Yermolova-Magnusson, Julia New \(r\)-matrices for Lie bialgebra structures over polynomials. (English) Zbl 1245.17011 Lett. Math. Phys. 93, No. 2, 141-156 (2010). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B62 PDFBibTeX XMLCite \textit{I. Pop} and \textit{J. Yermolova-Magnusson}, Lett. Math. Phys. 93, No. 2, 141--156 (2010; Zbl 1245.17011) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Tiraboschi, Alejandro A family of Poisson non-compact symmetric spaces. (English) Zbl 1208.17017 J. Geom. Phys. 60, No. 10, 1306-1325 (2010). Reviewer: Jan Grabowski (Oxford) MSC: 17B62 53D17 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{A. Tiraboschi}, J. Geom. Phys. 60, No. 10, 1306--1325 (2010; Zbl 1208.17017) Full Text: DOI arXiv
Khoroshkin, S. M.; Pop, I. I.; Samsonov, M. E.; Stolin, A. A.; Tolstoy, V. N. On some Lie bialgebra structures on polynomial algebras and their quantization. (English) Zbl 1149.17015 Commun. Math. Phys. 282, No. 3, 625-662 (2008). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B62 17B37 PDFBibTeX XMLCite \textit{S. M. Khoroshkin} et al., Commun. Math. Phys. 282, No. 3, 625--662 (2008; Zbl 1149.17015) Full Text: DOI arXiv
Stolin, A.; Yermolova-Magnusson, J. The 4th structure. (English) Zbl 1109.17012 Czech. J. Phys. 56, No. 10-11, 1293-1297 (2006). MSC: 17B62 PDFBibTeX XMLCite \textit{A. Stolin} and \textit{J. Yermolova-Magnusson}, Czech. J. Phys. 56, No. 10--11, 1293--1297 (2006; Zbl 1109.17012) Full Text: DOI arXiv
Evens, Sam; Lu, Jiang-Hua On the variety of Lagrangian subalgebras. II. (English) Zbl 1162.17020 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 347-379 (2006). MSC: 17B63 17B20 53D17 PDFBibTeX XMLCite \textit{S. Evens} and \textit{J.-H. Lu}, Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 347--379 (2006; Zbl 1162.17020) Full Text: DOI arXiv Numdam EuDML
Karolinsky, E.; Muzykin, K.; Stolin, K. A.; Tarasov, V. Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization. (English) Zbl 1102.17003 Lett. Math. Phys. 71, No. 3, 179-197 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B20 17B35 17B63 53D55 81R12 PDFBibTeX XMLCite \textit{E. Karolinsky} et al., Lett. Math. Phys. 71, No. 3, 179--197 (2005; Zbl 1102.17003) Full Text: DOI arXiv
Karolinsky, E.; Stolin, A.; Tarasov, V. From dynamical to non-dynamical twists. (English) Zbl 1097.17009 Lett. Math. Phys. 71, No. 3, 173-178 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 17B10 17B20 PDFBibTeX XMLCite \textit{E. Karolinsky} et al., Lett. Math. Phys. 71, No. 3, 173--178 (2005; Zbl 1097.17009) Full Text: DOI