Batakidis, Panagiotis; Petalidou, Fani Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids. (English) Zbl 07825717 J. Geom. Phys. 199, Article ID 105142, 31 p. (2024). MSC: 53C05 53D17 58J10 58A15 16S32 17B35 17B55 70G45 PDFBibTeX XMLCite \textit{P. Batakidis} and \textit{F. Petalidou}, J. Geom. Phys. 199, Article ID 105142, 31 p. (2024; Zbl 07825717) Full Text: DOI arXiv
de la Llave, Rafael; Saprykina, Maria Noncommutative coboundary equations over integrable systems. (English) Zbl 07770355 J. Mod. Dyn. 19, 773-794 (2023). MSC: 37J35 37J37 37J12 37J40 37A20 70H08 PDFBibTeX XMLCite \textit{R. de la Llave} and \textit{M. Saprykina}, J. Mod. Dyn. 19, 773--794 (2023; Zbl 07770355) Full Text: DOI arXiv
Elhamdadi, Mohamed; Zappala, Emanuele Deformations of Yang-Baxter operators via \(n\)-Lie algebra cohomology. (English) Zbl 07747971 Nucl. Phys., B 995, Article ID 116331, 29 p. (2023). MSC: 81T32 13D10 70F10 17B05 20G10 20L05 14D15 17B38 18A20 37A20 PDFBibTeX XMLCite \textit{M. Elhamdadi} and \textit{E. Zappala}, Nucl. Phys., B 995, Article ID 116331, 29 p. (2023; Zbl 07747971) Full Text: DOI arXiv
Pugliese, Fabrizio; Sparano, Giovanni; Vitagliano, Luca Vinogradov’s cohomological geometry of partial differential equations. (English) Zbl 1522.58001 Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 157-182 (2023). MSC: 58A15 58A20 17B56 55T25 58A12 70S05 PDFBibTeX XMLCite \textit{F. Pugliese} et al., Contemp. Math. 789, 157--182 (2023; Zbl 1522.58001) Full Text: DOI arXiv
Buchholz, Detlev; Ciolli, Fabio; Ruzzi, Giuseppe; Vasselli, Ezio The universal algebra of the electromagnetic field. III. Static charges and emergence of gauge fields. (English) Zbl 1489.81046 Lett. Math. Phys. 112, No. 2, Paper No. 27, 13 p. (2022). MSC: 81T05 70S15 57T15 81V10 46N50 14F40 46L05 46L60 PDFBibTeX XMLCite \textit{D. Buchholz} et al., Lett. Math. Phys. 112, No. 2, Paper No. 27, 13 p. (2022; Zbl 1489.81046) Full Text: DOI arXiv
Luu, Martin T. Feigin-Frenkel image of Witten-Kontsevich points. (English) Zbl 1470.81059 Int. Math. Res. Not. 2021, No. 7, 5520-5541 (2021). MSC: 81V17 70G40 81T70 81T45 83C45 17B81 14N35 22E57 17B67 PDFBibTeX XMLCite \textit{M. T. Luu}, Int. Math. Res. Not. 2021, No. 7, 5520--5541 (2021; Zbl 1470.81059) Full Text: DOI
Konopelchenko, B. G.; Ortenzi, G. Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian. (English. Russian original) Zbl 1301.37042 Theor. Math. Phys. 177, No. 2, 1479-1491 (2013); translation from Teor. Mat. Fiz. 177, No. 2, 231-246 (2013). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 17B56 70G45 PDFBibTeX XMLCite \textit{B. G. Konopelchenko} and \textit{G. Ortenzi}, Theor. Math. Phys. 177, No. 2, 1479--1491 (2013; Zbl 1301.37042); translation from Teor. Mat. Fiz. 177, No. 2, 231--246 (2013) Full Text: DOI arXiv
Buchbinder, I. L.; Reshetnyak, A. General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields. (English) Zbl 1246.81109 Nucl. Phys., B 862, No. 1, 270-326 (2012). MSC: 81T13 70S05 70S15 70H45 81T70 81R05 81R25 22E70 PDFBibTeX XMLCite \textit{I. L. Buchbinder} and \textit{A. Reshetnyak}, Nucl. Phys., B 862, No. 1, 270--326 (2012; Zbl 1246.81109) Full Text: DOI arXiv
Bakšová, Marta; Dekrét, Anton On some cohomological properties of the Lie algebra of Euclidean motions. (English) Zbl 1212.70005 Math. Bohem. 134, No. 4, 337-348 (2009). MSC: 70B15 22E60 22E70 70G65 PDFBibTeX XMLCite \textit{M. Bakšová} and \textit{A. Dekrét}, Math. Bohem. 134, No. 4, 337--348 (2009; Zbl 1212.70005) Full Text: EuDML
Isaev, A. P.; Krivonos, S. O.; Ogievetsky, O. V. BRST charges for finite nonlinear algebras. arXiv:0807.1820 Preprint, arXiv:0807.1820 [math-ph] (2008). MSC: 17A45 70H45 81R50 17B56 BibTeX Cite \textit{A. P. Isaev} et al., ``BRST charges for finite nonlinear algebras'', Preprint, arXiv:0807.1820 [math-ph] (2008) Full Text: DOI arXiv OA License
Grozman, P. Ya.; Leites, D. A. Nonholonomic Riemann and Weyl tensors for flag manifolds. (English. Russian original) Zbl 1141.17019 Theor. Math. Phys. 153, No. 2, 1511-1538 (2007); translation from Teor. Mat. Fiz. 153, No. 2, 186-219 (2007). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B56 14M15 37J60 53C10 58A50 70F25 70G45 PDFBibTeX XMLCite \textit{P. Ya. Grozman} and \textit{D. A. Leites}, Theor. Math. Phys. 153, No. 2, 1511--1538 (2007; Zbl 1141.17019); translation from Teor. Mat. Fiz. 153, No. 2, 186--219 (2007) Full Text: DOI arXiv
Golubeva, V. A.; Leksin, V. P. Rigidity theorems for multiparametric deformations of algebraic structures, associated with the Knizhnik-Zamolodchikov equations. (English) Zbl 1124.35049 J. Dyn. Control Syst. 13, No. 2, 161-171 (2007). MSC: 35Q15 70G65 16W30 17B37 PDFBibTeX XMLCite \textit{V. A. Golubeva} and \textit{V. P. Leksin}, J. Dyn. Control Syst. 13, No. 2, 161--171 (2007; Zbl 1124.35049) Full Text: DOI
Novikov, S. P.; Taimanov, I. A. Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. (English) Zbl 1108.53001 Graduate Studies in Mathematics 71. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3929-2/hbk). xx, 633 p. (2006). Reviewer: Hubert Gollek (Berlin) MSC: 53-01 57-01 53C20 53C80 53D17 83C05 70H25 53C07 53C27 PDFBibTeX XMLCite \textit{S. P. Novikov} and \textit{I. A. Taimanov}, Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1108.53001)
Ferreiro Pérez, R. Equivariant characteristic forms on the bundle of connections. (English) Zbl 1080.57028 J. Geom. Phys. 54, No. 2, 197-212 (2005). Reviewer: Július Korbaš (Bratislava) MSC: 57R20 22E65 53C07 53C05 55N91 58A20 58D19 58D27 70S15 PDFBibTeX XMLCite \textit{R. Ferreiro Pérez}, J. Geom. Phys. 54, No. 2, 197--212 (2005; Zbl 1080.57028) Full Text: DOI arXiv
Leites, Dimitry The Riemann tensor for nonholonomic manifolds. (English) Zbl 1015.53012 Homology Homotopy Appl. 4, No. 2(2), 397-407 (2002). Reviewer: Marco Modugno (Firenze) MSC: 53B21 17B56 70G45 PDFBibTeX XMLCite \textit{D. Leites}, Homology Homotopy Appl. 4, No. 2(2), 397--407 (2002; Zbl 1015.53012) Full Text: DOI arXiv EuDML EMIS
Polterovich, Leonid The geometry of the group of symplectic diffeomorphism. (English) Zbl 1197.53003 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser (ISBN 3-7643-6432-7/pbk). xii, 132 p. (2001). Reviewer: Miguel T. Abreu (MR1826128) MSC: 53-02 57R17 57-02 53D35 22E65 37J05 37J10 53D40 70H15 PDFBibTeX XMLCite \textit{L. Polterovich}, The geometry of the group of symplectic diffeomorphism. Basel: Birkhäuser (2001; Zbl 1197.53003)
de Azcárraga, J. A.; Izquierdo, J. M.; Pérez Bueno, J. C. On the higher-order generalizations of Poisson structures. (English) Zbl 0932.37056 J. Phys. A, Math. Gen. 30, No. 18, L607-L616 (1997). MSC: 37K05 37K30 37J05 70H05 PDFBibTeX XMLCite \textit{J. A. de Azcárraga} et al., J. Phys. A, Math. Gen. 30, No. 18, L607--L616 (1997; Zbl 0932.37056) Full Text: DOI arXiv
Ginzburg, Viktor L. Momentum mappings and Poisson cohomology. (English) Zbl 0867.58028 Int. J. Math. 7, No. 3, 329-358 (1996). Reviewer: W.Sarlet (Gent) MSC: 37J99 17B56 17B99 57S15 53D50 70H33 PDFBibTeX XMLCite \textit{V. L. Ginzburg}, Int. J. Math. 7, No. 3, 329--358 (1996; Zbl 0867.58028) Full Text: DOI
Michor, P. W.; Vinogradov, A. M. \(n\)-ary Lie and associative algebras. (English) Zbl 0928.17029 Rend. Semin. Mat., Torino 54, No. 4, 373-392 (1996). Reviewer: A.Rudakov (Trondheim) MSC: 17B99 17B56 37-XX 18G99 16W50 16W55 70H99 PDFBibTeX XMLCite \textit{P. W. Michor} and \textit{A. M. Vinogradov}, Rend. Semin. Mat., Torino 54, No. 4, 373--392 (1996; Zbl 0928.17029) Full Text: arXiv
Takhtajan, L. A. A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. (English) Zbl 0833.17021 St. Petersbg. Math. J. 6, No. 2, 429-438 (1995); translation from Algebra Anal. 6, No. 2, 262-272 (1994). MSC: 17B55 17B56 16E40 70H99 37J99 PDFBibTeX XMLCite \textit{L. A. Takhtajan}, St. Petersbg. Math. J. 6, No. 2, 262--272 (1994; Zbl 0833.17021); translation from Algebra Anal. 6, No. 2, 262--272 (1994)
Lichnerowicz, Andre Les algèbres formelles associees à une variété symplectique et leurs automorphismes. (French) Zbl 0472.58011 Astérisque 80, 85-96 (1980). MSC: 53D50 17B56 53C15 16S80 70H99 PDFBibTeX XMLCite \textit{A. Lichnerowicz}, Astérisque 80, 85--96 (1980; Zbl 0472.58011)