Casati, Matteo; Wang, Jing Ping Hamiltonian structures for integrable nonabelian difference equations. (English) Zbl 1501.37069 Commun. Math. Phys. 392, No. 1, 219-278 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37K30 53D17 17B80 PDFBibTeX XMLCite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 392, No. 1, 219--278 (2022; Zbl 1501.37069) Full Text: DOI arXiv
Negron, Cris; Witherspoon, Sarah The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups. (English) Zbl 1381.16010 Proc. Lond. Math. Soc. (3) 115, No. 6, 1149-1169 (2017). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 16E40 16S35 PDFBibTeX XMLCite \textit{C. Negron} and \textit{S. Witherspoon}, Proc. Lond. Math. Soc. (3) 115, No. 6, 1149--1169 (2017; Zbl 1381.16010) Full Text: DOI arXiv
Anderson, Edward Beables/observables in classical and quantum gravity. (English) Zbl 1301.83001 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014). MSC: 83-02 83C05 83C45 83D05 70H45 81S05 83E50 81P15 81T30 PDFBibTeX XMLCite \textit{E. Anderson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014; Zbl 1301.83001) Full Text: DOI arXiv EMIS
Laurent-Gengoux, Camille; Pichereau, Anne; Vanhaecke, Pol Poisson structures. (English) Zbl 1284.53001 Grundlehren der Mathematischen Wissenschaften 347. Berlin: Springer (ISBN 978-3-642-31089-8/hbk; 978-3-642-31090-4/ebook). xxiv, 461 p. (2012). Reviewer: Zhuo Chen (Beijing) MSC: 53-02 53D17 17B63 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} et al., Poisson structures. Berlin: Springer (2012; Zbl 1284.53001) Full Text: DOI
Bruce, Andrew James Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids. (English) Zbl 1235.53086 Rep. Math. Phys. 66, No. 2, 251-276 (2010). Reviewer: Liviu Popescu (Craiova) MSC: 53D17 17B66 PDFBibTeX XMLCite \textit{A. J. Bruce}, Rep. Math. Phys. 66, No. 2, 251--276 (2010; Zbl 1235.53086) Full Text: DOI arXiv
Bogoyavlenskij, O. I.; Reynolds, A. P. Criteria for existence of a Hamiltonian structure. (English) Zbl 1252.35187 Regul. Chaotic Dyn. 15, No. 4-5, 431-439 (2010). MSC: 35L60 35Q35 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij} and \textit{A. P. Reynolds}, Regul. Chaotic Dyn. 15, No. 4--5, 431--439 (2010; Zbl 1252.35187) Full Text: DOI
Krasil’shchik, Iosif Algebraic theories of brackets and related (co)homologies. (English) Zbl 1210.17028 Acta Appl. Math. 109, No. 1, 137-150 (2010). Reviewer: Pasha Zusmanovich (Tallinn) MSC: 17B63 13D99 58J10 13N99 17B56 18G60 53C05 PDFBibTeX XMLCite \textit{I. Krasil'shchik}, Acta Appl. Math. 109, No. 1, 137--150 (2010; Zbl 1210.17028) Full Text: DOI arXiv
Pinczon, Georges; Ushirobira, Rosane New applications of graded Lie algebras to Lie algebras, generalized Lie algebras, and cohomology. (English) Zbl 1195.17022 J. Lie Theory 17, No. 3, 633-667 (2007). MSC: 17B70 17B56 PDFBibTeX XMLCite \textit{G. Pinczon} and \textit{R. Ushirobira}, J. Lie Theory 17, No. 3, 633--667 (2007; Zbl 1195.17022) Full Text: arXiv Link
Mikami, Kentaro; Mizutani, Tadayoshi Lie algebroids associated with deformed Schouten bracket of 2-vector fields. (English) Zbl 1122.53046 Maeda, Yoshiaki (ed.) et al., From geometry to quantum mechanics. In honor of Hideki Omori. Basel: Birkhäuser (ISBN 978-0-8176-4512-0/hbk; 978-0-8176-4530-4/e-book). Progress in Mathematics 252, 147-160 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53A55 PDFBibTeX XMLCite \textit{K. Mikami} and \textit{T. Mizutani}, Prog. Math. 252, 147--160 (2007; Zbl 1122.53046)
Igonin, Sergei; Verbovetsky, Alexander; Vitolo, Raffaele Variational multivectors and brackets in the geometry of jet spaces. (English) Zbl 1122.17021 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1335-1342 (2004). Reviewer: S. V. Spichak (Kyïv) MSC: 17B70 58A20 53D17 PDFBibTeX XMLCite \textit{S. Igonin} et al., in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1335--1342 (2004; Zbl 1122.17021)
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
Monterde, J.; Vallejo, J. A. Poisson brackets of even symplectic forms on the algebra of differential forms. (English) Zbl 1028.58002 Ann. Global Anal. Geom. 22, No. 3, 267-289 (2002). Reviewer: A.Morimoto (Nagoya) MSC: 58A50 58A10 53D17 53D05 53C15 PDFBibTeX XMLCite \textit{J. Monterde} and \textit{J. A. Vallejo}, Ann. Global Anal. Geom. 22, No. 3, 267--289 (2002; Zbl 1028.58002) Full Text: DOI arXiv
Marle, Charles-Michel Differential calculus on a Lie algebroid and Poisson manifolds. (English) Zbl 1031.53114 Albuquerque, Helena (ed.) et al., The J. A. Pereira da Silva birthday schrift on the occasion of his 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática. Textos Mat., Sér. B. 32, 83-149 (2002). Reviewer: Elena Hirica (Bucureşti) MSC: 53D17 22A22 PDFBibTeX XMLCite \textit{C.-M. Marle}, in: The J. A. Pereira da Silva birthday schrift on the occasion of his 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática. 83--149 (2002; Zbl 1031.53114) Full Text: arXiv
Marsden, Jerrold E.; Ratiu, Tudor S. Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. (Einführung in die Mechanik und Symmetry. Eine grundlegende Darstellung klassischer mechanischer Systeme. Übers. aus dem Engl. von Stefan Hackmann u. Ulrich Krähmer.) (German) Zbl 0981.70001 Berlin: Springer. xvi, 598 S. (2001). Reviewer: Willy Sarlet (Gent) MSC: 70-01 70Hxx 70Exx 70Fxx 70Gxx 37Jxx 70Kxx PDFBibTeX XMLCite \textit{J. E. Marsden} and \textit{T. S. Ratiu}, Einführung in die Mechanik und Symmetry. Eine grundlegende Darstellung klassischer mechanischer Systeme. Übers. aus dem Engl. von Stefan Hackmann u. Ulrich Krähmer. Berlin: Springer (2001; Zbl 0981.70001) Full Text: DOI
Cariñena, José F.; Figueroa, Héctor Recursion operators and constants of motion in supermechanics. (English) Zbl 0928.58004 Differ. Geom. Appl. 10, No. 2, 191-202 (1999). Reviewer: José F.Cariñena (Zaragoza) MSC: 58A50 58C50 70H33 PDFBibTeX XMLCite \textit{J. F. Cariñena} and \textit{H. Figueroa}, Differ. Geom. Appl. 10, No. 2, 191--202 (1999; Zbl 0928.58004) Full Text: DOI
Izquierdo, J. M.; Pérez Bueno, J. C. Poisson structures: Old and new. (English) Zbl 0931.37033 Cariñena, J. F. (ed.) et al., Geometry and physics. Proceedings of the 5th fall workshop, Jaca, Spain, September 23–25, 1996. Madrid: Real Academia de Ciencias Exactas, Físicas y Naturales. Mem. R. Acad. Cienc. Exactas Fis. Nat. Madrid, Ser. Cienc. Exactas. 32, 103-130 (1998). Reviewer: David Martín de Diego (Valladolid) MSC: 37K30 37K25 37-02 70G45 53D17 53C15 PDFBibTeX XMLCite \textit{J. M. Izquierdo} and \textit{J. C. Pérez Bueno}, in: Geometría y física. Actas de la reunión de otoño, Jaca, España, 1996. Madrid: Real Academia de Ciencias Exactas, Físicas y Naturales. 103--130 (1998; Zbl 0931.37033)
Norris, L. K. Schouten-Nijenhuis brackets. (English) Zbl 0878.58030 J. Math. Phys. 38, No. 5, 2694-2709 (1997). MSC: 37J99 53C15 57R15 PDFBibTeX XMLCite \textit{L. K. Norris}, J. Math. Phys. 38, No. 5, 2694--2709 (1997; Zbl 0878.58030) Full Text: DOI
Daletskij, Yu. L.; Kushnirevich, V. A. Differential structures in a Lie superalgebra. (Russian) Zbl 0893.58009 Ukr. Mat. Zh. 48, No. 4, 435-442 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 46L85 46L87 17B70 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{V. A. Kushnirevich}, Ukr. Mat. Zh. 48, No. 4, 435--442 (1996; Zbl 0893.58009) Full Text: DOI
Daletskij, Yu. L.; Kushnirevich, V. A. Differential structures in Lie superalgebras. (English. Russian original) Zbl 0932.46065 Ukr. Math. J. 48, No. 4, 483-490 (1996); translation from Ukr. Mat. Zh. 48, No. 4, 435-442 (1996). MSC: 46L87 17B70 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{V. A. Kushnirevich}, Ukr. Mat. Zh. 48, No. 4, 435--442 (1996; Zbl 0932.46065); translation from Ukr. Mat. Zh. 48, No. 4, 435--442 (1996) Full Text: DOI
Voronov, Th. Th. On the Poisson envelope of a Lie algebra. “Noncommutative” moment space. (English. Russian original) Zbl 0860.17036 Funct. Anal. Appl. 29, No. 3, 196-199 (1995); translation from Funkts. Anal. Prilozh. 29, No. 3, 61-64 (1995). MSC: 17B66 17B70 PDFBibTeX XMLCite \textit{Th. Th. Voronov}, Funct. Anal. Appl. 29, No. 3, 196--199 (1995; Zbl 0860.17036); translation from Funkts. Anal. Prilozh. 29, No. 3, 61--64 (1995) Full Text: DOI
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
Krasil’shchik, I. S. Supercanonical algebras and Schouten brackets. (English. Russian original) Zbl 0732.58016 Math. Notes 49, No. 1, 50-54 (1991); translation from Mat. Zametki 49, No. 1, 70-76 (1991). MSC: 37J99 16W50 15A78 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik}, Math. Notes 49, No. 1, 50--54 (1991; Zbl 0732.58016); translation from Mat. Zametki 49, No. 1, 70--76 (1991) Full Text: DOI
Krasil’shchik, I. S. Supercanonical algebras and Schouten brackets. (Russian) Zbl 0723.58020 Mat. Zametki 49, No. 1, 70-76 (1991). Reviewer: A.Bejancu (Iaşi) MSC: 37J99 16W50 15A78 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik}, Mat. Zametki 49, No. 1, 70--76 (1991; Zbl 0723.58020)
Vorob’ev, Yu. M.; Karasev, M. V. Deformation and cohomologies of Poisson brackets. (English. Russian original) Zbl 0722.58017 Global Analysis - studies and applications IV, Lect. Notes Math 1453, 271-289 (1990); translation from Nov. Global’nom Anal. 1989, 75-89 (1989). Reviewer: J.Eichhorn (Greifswald) MSC: 37J99 PDFBibTeX XML
Vinogradov, A. M. Combination of Schouten and Nijenhuis brackets, cohomologies and superdifferential operators. (Russian) Zbl 0712.58059 Mat. Zametki 47, No. 6, 138-140 (1990). Reviewer: N.Papaghiuc MSC: 58H10 53C65 PDFBibTeX XMLCite \textit{A. M. Vinogradov}, Mat. Zametki 47, No. 6, 138--140 (1990; Zbl 0712.58059)
Vorob’ev, Yu. M.; Karasev, M. V. Corrections to classical dynamics and quantization conditions arising in the deformation of Poisson brackets. (English. Russian original) Zbl 0676.58026 Sov. Math., Dokl. 36, No. 3, 594-598 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1294-1298 (1987). Reviewer: L.Sheng MSC: 37J99 53D50 PDFBibTeX XMLCite \textit{Yu. M. Vorob'ev} and \textit{M. V. Karasev}, Sov. Math., Dokl. 36, No. 3, 594--598 (1988; Zbl 0676.58026); translation from Dokl. Akad. Nauk SSSR 297, 1294--1298 (1987)
Krasil’shchik, I. S. Schouten bracket and canonical algebras. (English. Russian original) Zbl 0661.53059 Global analysis - studies and applications III, Lect. Notes Math. 1334, 79-110 (1988); translation from Global’nyj Analiz i Matematicheskaya Fizika, Nov. Global’nom Anal. 1987, 73-94 (1987). MSC: 53C80 53A45 37J99 70H99 PDFBibTeX XML
Krasil’shchik, I. S. Schouten brackets and canonical algebras. (Russian) Zbl 0645.53060 Global’nyj Analiz i Matematicheskaya Fizika, Nov. Global’nom Anal. 1987, 73-94 (1987). Reviewer: A.Fleischer MSC: 53C80 53A45 37J99 70H99 PDFBibTeX XML
Koszul, Jean-Louis Schouten-Nijenhuis bracket and cohomology. (Crochet de Schouten-Nijenhuis et cohomologie.) (French) Zbl 0615.58029 Élie Cartan et les mathématiques d’aujourd’hui, The mathematical heritage of Elie Cartan, Semin. Lyon 1984, Astérisque, No.Hors Sér. 1985, 257-271 (1985). Reviewer: P.Dazord MSC: 58J10 17B56 PDFBibTeX XML
Daletskij, Yu. L.; Tsygan, B. L. Hamiltonian operators and Hochschild homologies. (English. Russian original) Zbl 0606.58019 Funct. Anal. Appl. 19, 319-321 (1985); translation from Funkts. Anal. Prilozh. 19, No. 4, 82-83 (1985). Reviewer: Yu.E.Gliklikh MSC: 37J99 17B55 17A70 18G99 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{B. L. Tsygan}, Funct. Anal. Appl. 19, 319--321 (1985; Zbl 0606.58019); translation from Funkts. Anal. Prilozh. 19, No. 4, 82--83 (1985) Full Text: DOI
Gel’fand, I. M.; Dorfman, I. Ya. Hamiltonian operators and infinite-dimensional Lie algebras. (English) Zbl 0487.58008 Funct. Anal. Appl. 15, 173-187 (1982). MSC: 37K05 37K30 35Q53 17B80 17B66 PDFBibTeX XMLCite \textit{I. M. Gel'fand} and \textit{I. Ya. Dorfman}, Funct. Anal. Appl. 15, 173--187 (1982; Zbl 0487.58008) Full Text: DOI
Braconnier, Jean Sur les crochets généralises et quelques unes de leurs applications. (French) Zbl 0397.17004 Publ. Dep. Math., Lyon 14, No. 4, 77-106 (1977). MSC: 17B05 58A05 17B56 53C15 PDFBibTeX XMLCite \textit{J. Braconnier}, Publ. Dép. Math., Lyon 14, No. 4, 77--106 (1977; Zbl 0397.17004)