Bursztyn, Henrique; Drummond, Thiago; Netto, Clarice Courant-Nijenhuis algebroids. (English) Zbl 07733873 J. Geom. Phys. 192, Article ID 104923, 19 p. (2023). MSC: 53-XX PDFBibTeX XMLCite \textit{H. Bursztyn} et al., J. Geom. Phys. 192, Article ID 104923, 19 p. (2023; Zbl 07733873) Full Text: DOI arXiv
Drummond, Thiago Lie-Nijenhuis bialgebroids. (English) Zbl 1503.53149 Q. J. Math. 73, No. 3, 849-883 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B62 PDFBibTeX XMLCite \textit{T. Drummond}, Q. J. Math. 73, No. 3, 849--883 (2022; Zbl 1503.53149) Full Text: DOI arXiv
Smilde, Wilmer Linearization of Poisson groupoids. (English) Zbl 1494.53095 Indag. Math., New Ser. 33, No. 3, 682-717 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 20L05 PDFBibTeX XMLCite \textit{W. Smilde}, Indag. Math., New Ser. 33, No. 3, 682--717 (2022; Zbl 1494.53095) Full Text: DOI arXiv
Morand, Kevin A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids. (English) Zbl 1490.53105 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 020, 38 p. (2022). MSC: 53D55 18G85 17B62 PDFBibTeX XMLCite \textit{K. Morand}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 020, 38 p. (2022; Zbl 1490.53105) Full Text: DOI
Lean, Madeleine Jotz; Mackenzie, Kirill C. H. Transitive double Lie algebroids via core diagrams. (English) Zbl 1484.22015 J. Geom. Mech. 13, No. 3, 403-457 (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 22E65 53C05 53D17 18N10 PDFBibTeX XMLCite \textit{M. J. Lean} and \textit{K. C. H. Mackenzie}, J. Geom. Mech. 13, No. 3, 403--457 (2021; Zbl 1484.22015) Full Text: DOI arXiv
Lang, Honglei; Qiao, Yu; Yin, Yanbin On Lie bialgebroid crossed modules. (English) Zbl 1464.18013 Int. J. Math. 32, No. 4, Article ID 2150021, 25 p. (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 18G45 17B62 53D17 PDFBibTeX XMLCite \textit{H. Lang} et al., Int. J. Math. 32, No. 4, Article ID 2150021, 25 p. (2021; Zbl 1464.18013) Full Text: DOI arXiv
Das, Apurba Poisson-Nijenhuis groupoids. (English) Zbl 1441.53071 Rep. Math. Phys. 84, No. 3, 303-331 (2019). MSC: 53D17 22A22 PDFBibTeX XMLCite \textit{A. Das}, Rep. Math. Phys. 84, No. 3, 303--331 (2019; Zbl 1441.53071) Full Text: DOI arXiv
Jotz Lean, Madeleine Lie 2-algebroids and matched pairs of 2-representations: a geometric approach. (English) Zbl 1443.53047 Pac. J. Math. 301, No. 1, 143-188 (2019). MSC: 53D17 PDFBibTeX XMLCite \textit{M. Jotz Lean}, Pac. J. Math. 301, No. 1, 143--188 (2019; Zbl 1443.53047) Full Text: DOI arXiv
Lean, M. Jotz Dirac groupoids and Dirac bialgebroids. (English) Zbl 1428.22003 J. Symplectic Geom. 17, No. 1, 179-238 (2019). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 53D17 18B40 PDFBibTeX XMLCite \textit{M. J. Lean}, J. Symplectic Geom. 17, No. 1, 179--238 (2019; Zbl 1428.22003) Full Text: DOI arXiv
Jotz Lean, Madeleine Dorfman connections and Courant algebroids. (English. French summary) Zbl 1395.53014 J. Math. Pures Appl. (9) 116, 1-39 (2018). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53B05 53D18 53D17 PDFBibTeX XMLCite \textit{M. Jotz Lean}, J. Math. Pures Appl. (9) 116, 1--39 (2018; Zbl 1395.53014) Full Text: DOI arXiv
Das, Apurba On generalized Lie bialgebroids and Jacobi groupoids. (English) Zbl 1420.53086 Extr. Math. 31, No. 2, 199-225 (2016). MSC: 53D17 17B62 PDFBibTeX XMLCite \textit{A. Das}, Extr. Math. 31, No. 2, 199--225 (2016; Zbl 1420.53086) Full Text: Link
Nannicini, Antonella Generalized geometry of pseudo-Riemannian manifolds and the generalized \(\bar{\partial}\)-operator. (English) Zbl 1338.53112 Adv. Geom. 16, No. 2, 165-173 (2016). MSC: 53D18 53C15 53C80 53C38 53D05 PDFBibTeX XMLCite \textit{A. Nannicini}, Adv. Geom. 16, No. 2, 165--173 (2016; Zbl 1338.53112) Full Text: DOI
Chemla, Sophie; Gavarini, Fabio Duality functors for quantum groupoids. (English) Zbl 1401.53069 J. Noncommut. Geom. 9, No. 2, 287-358 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 16T05 17B62 PDFBibTeX XMLCite \textit{S. Chemla} and \textit{F. Gavarini}, J. Noncommut. Geom. 9, No. 2, 287--358 (2015; Zbl 1401.53069) Full Text: DOI arXiv
Kowalzig, Niels Batalin-Vilkovisky algebra structures on (Co)Tor and Poisson bialgebroids. (English) Zbl 1350.16012 J. Pure Appl. Algebra 219, No. 9, 3781-3822 (2015). MSC: 16E40 16T05 16T10 19D55 58B34 PDFBibTeX XMLCite \textit{N. Kowalzig}, J. Pure Appl. Algebra 219, No. 9, 3781--3822 (2015; Zbl 1350.16012) Full Text: DOI arXiv
Kouotchop Wamba, P. M.; Ntyam, A. Tangent lifts of higher order of multiplicative Dirac structures. (English) Zbl 1299.53088 Arch. Math., Brno 49, No. 2, 87-104 (2013). Reviewer: Ivan Kolář (Brno) MSC: 53C15 53C75 53D05 PDFBibTeX XMLCite \textit{P. M. Kouotchop Wamba} and \textit{A. Ntyam}, Arch. Math., Brno 49, No. 2, 87--104 (2013; Zbl 1299.53088) Full Text: DOI
Kosmann-Schwarzbach, Yvette Dirac pairs. (English) Zbl 1320.53101 J. Geom. Mech. 4, No. 2, 165-180 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B63 70G45 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach}, J. Geom. Mech. 4, No. 2, 165--180 (2012; Zbl 1320.53101) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Stiénon, Mathieu; Xu, Ping Lectures on Poisson groupoids. (English) Zbl 1219.53078 Ratiu, Tudor (ed.) et al., Lectures on Poisson geometry. Based on a summer school, Trieste, Italy, July 4–22, 2005. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 17, 473-502 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} et al., Geom. Topol. Monogr. 17, 473--502 (2011; Zbl 1219.53078) Full Text: arXiv
Chen, Zhuo; Liu, Zhangju; Sheng, Yunhe E-Courant algebroids. (English) Zbl 1211.53096 Int. Math. Res. Not. 2010, No. 22, 4334-4376 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53C05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Int. Math. Res. Not. 2010, No. 22, 4334--4376 (2010; Zbl 1211.53096) Full Text: DOI arXiv
Grabowski, Janusz; Rotkiewicz, Mikołaj Higher vector bundles and multi-graded symplectic manifolds. (English) Zbl 1171.58300 J. Geom. Phys. 59, No. 9, 1285-1305 (2009). MSC: 58A50 53D05 53D17 58C50 17B62 17B63 18D05 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{M. Rotkiewicz}, J. Geom. Phys. 59, No. 9, 1285--1305 (2009; Zbl 1171.58300) Full Text: DOI arXiv
Novitchkov, Gleb On coupled dynamical \(r\)-matrices. (English) Zbl 1231.81048 The COE seminar on mathematical sciences 2007. Papers from the seminar held in Keio, Japan, 2007. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 37, 1-17 (2008). MSC: 81R12 17B81 81R50 PDFBibTeX XMLCite \textit{G. Novitchkov}, Semin. Math. Sci. 2007, 1--17 (2008; Zbl 1231.81048)
Liu, Baokang; He, Longguang Dirac-Nijenhuis structures on Lie bialgebroids. (English) Zbl 1091.53052 Rep. Math. Phys. 55, No. 2, 179-198 (2005). Reviewer: Angela Gammella (Creil) MSC: 53D17 58H05 PDFBibTeX XMLCite \textit{B. Liu} and \textit{L. He}, Rep. Math. Phys. 55, No. 2, 179--198 (2005; Zbl 1091.53052) Full Text: DOI
Petalidou, Fani; Nunes da Costa, Joana M. Reduction of Jacobi manifolds via Dirac structures theory. (English) Zbl 1089.53055 Differ. Geom. Appl. 23, No. 3, 282-304 (2005). Reviewer: Mihail Banaru (Smolensk) MSC: 53D17 53D20 53D10 PDFBibTeX XMLCite \textit{F. Petalidou} and \textit{J. M. Nunes da Costa}, Differ. Geom. Appl. 23, No. 3, 282--304 (2005; Zbl 1089.53055) Full Text: DOI arXiv Link
Padrón, E.; Sosa, D. Nambu-Poisson structures and compatible pairs of Leibniz algebroids. (English) Zbl 1068.53057 Albuquerque, H. (ed.) et al., Proceedings of the XII fall workshop on geometry and physics, Coimbra, Portugal, September 8–10, 2003. Madrid: Real Sociedad Matemática Española (ISBN 84-933610-3-8/pbk). Publicaciones de la Real Sociedad Matemática Española 7, 229-234 (2004). Reviewer: Angela Gammella (Creil) MSC: 53D17 PDFBibTeX XMLCite \textit{E. Padrón} and \textit{D. Sosa}, Publ. R. Soc. Mat. Esp. 7, 229--234 (2004; Zbl 1068.53057)
Clemente-Gallardo, J.; Nunes da Costa, J. M. Dirac-Nijenhuis structures. (English) Zbl 1065.53064 J. Phys. A, Math. Gen. 37, No. 29, 7267-7296 (2004). Reviewer: David Iglesias-Ponte (University Park) MSC: 53D17 58H15 58H05 17B62 PDFBibTeX XMLCite \textit{J. Clemente-Gallardo} and \textit{J. M. Nunes da Costa}, J. Phys. A, Math. Gen. 37, No. 29, 7267--7296 (2004; Zbl 1065.53064) Full Text: DOI
Hofman, Christiaan; Park, Jae-Suk BV quantization of topological open membranes. (English) Zbl 1061.81059 Commun. Math. Phys. 249, No. 2, 249-271 (2004). MSC: 81T30 81R05 58H05 22E70 PDFBibTeX XMLCite \textit{C. Hofman} and \textit{J.-S. Park}, Commun. Math. Phys. 249, No. 2, 249--271 (2004; Zbl 1061.81059) Full Text: DOI arXiv
Nunes da Costa, J. M.; Clemente-Gallardo, J. Dirac structures for generalized Lie bialgebroids. (English) Zbl 1086.53099 J. Phys. A, Math. Gen. 37, No. 7, 2671-2692 (2004). Reviewer: Jan Kurek (Lublin) MSC: 53D17 17B62 PDFBibTeX XMLCite \textit{J. M. Nunes da Costa} and \textit{J. Clemente-Gallardo}, J. Phys. A, Math. Gen. 37, No. 7, 2671--2692 (2004; Zbl 1086.53099) Full Text: DOI Link
Iglesias, David; Marrero, Juan C. Generalized Lie bialgebras and Jacobi structures on Lie groups. (English) Zbl 1059.17014 Isr. J. Math. 133, 285-320 (2003). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B62 22E60 53D10 53D17 PDFBibTeX XMLCite \textit{D. Iglesias} and \textit{J. C. Marrero}, Isr. J. Math. 133, 285--320 (2003; Zbl 1059.17014) Full Text: DOI arXiv
Voronov, Theodore Graded manifolds and Drinfeld doubles for Lie bialgebroids. (English) Zbl 1042.53056 Voronov, Theodore (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3201-8). Contemp. Math. 315, 131-168 (2002). Reviewer: Olga Radko (Los Angeles) MSC: 53D17 58A50 17B62 17B63 PDFBibTeX XMLCite \textit{T. Voronov}, Contemp. Math. 315, 131--168 (2002; Zbl 1042.53056) Full Text: arXiv
Iglesias-Ponte, D.; Marrero, J. C. Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures. (English) Zbl 1038.53075 Extr. Math. 17, No. 2, 259-271 (2002). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D17 17B63 53D10 PDFBibTeX XMLCite \textit{D. Iglesias-Ponte} and \textit{J. C. Marrero}, Extr. Math. 17, No. 2, 259--271 (2002; Zbl 1038.53075) Full Text: EuDML
Liu, Zhang-Ju; Xu, Ping The local structure of Lie bialgebroids. (English) Zbl 1030.53080 Lett. Math. Phys. 61, No. 1, 15-28 (2002). Reviewer: Tomasz Rybicki (Kraków) MSC: 53D17 58H05 PDFBibTeX XMLCite \textit{Z.-J. Liu} and \textit{P. Xu}, Lett. Math. Phys. 61, No. 1, 15--28 (2002; Zbl 1030.53080) Full Text: DOI arXiv
Liu, Zhang-Ju Some remarks on Dirac structures and Poisson reductions. (English) Zbl 0966.58013 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 165-173 (2000). Reviewer: I.Kolář (Brno) MSC: 58H05 17B66 PDFBibTeX XMLCite \textit{Z.-J. Liu}, Banach Cent. Publ. 51, 165--173 (2000; Zbl 0966.58013) Full Text: EuDML
Roytenberg, Dmitry; Weinstein, Alan Courant algebroids and strongly homotopy Lie algebras. (English) Zbl 0946.17006 Lett. Math. Phys. 46, No. 1, 81-93 (1998). Reviewer: J.Kubarski (Łódź) MSC: 17B55 53D17 37J99 PDFBibTeX XMLCite \textit{D. Roytenberg} and \textit{A. Weinstein}, Lett. Math. Phys. 46, No. 1, 81--93 (1998; Zbl 0946.17006) Full Text: DOI arXiv
Tan, YouJun; Liu, Zhang-Ju Generalized Lie bialgebras. (English) Zbl 0957.17027 Commun. Algebra 26, No. 7, 2293-2319 (1998). MSC: 17B62 22A22 58H05 17B80 PDFBibTeX XMLCite \textit{Y. Tan} and \textit{Z.-J. Liu}, Commun. Algebra 26, No. 7, 2293--2319 (1998; Zbl 0957.17027) Full Text: DOI
Liu, Z.-J.; Xu, P. Exact Lie bialgebroids and Poisson groupoids. (English) Zbl 0869.17016 Geom. Funct. Anal. 6, No. 1, 138-145 (1996). Reviewer: J.-M.Vallin (Paris) MSC: 17B37 16W30 PDFBibTeX XMLCite \textit{Z. J. Liu} and \textit{P. Xu}, Geom. Funct. Anal. 6, No. 1, 138--145 (1996; Zbl 0869.17016) Full Text: DOI EuDML
Kosmann-Schwarzbach, Y. Exact Gerstenhaber algebras and Lie bialgebroids. (English) Zbl 0837.17014 Acta Appl. Math. 41, No. 1-3, 153-165 (1995). Reviewer: J.Kubarski (Łódź) MSC: 17B70 37J99 17B81 17B66 53C15 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach}, Acta Appl. Math. 41, No. 1--3, 153--165 (1995; Zbl 0837.17014) Full Text: DOI