Chen, Zhuo; Lang, Honglei; Liu, Zhangju Multiplicative forms on Poisson groupoids. (English) Zbl 07965984 Sci. China, Math. 68, No. 1, 169-206 (2025). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chetverikov, Vladimir N. Coverings and pseudosymmetries of differential equations. (English) Zbl 1522.35017 Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Geometry and mathematical physics. 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. 788, 73-99 (2023). MSC: 35A30 35B06 58J70 58J72 93B27 × Cite Format Result Cite Review PDF Full Text: DOI
Esposito, Chiara; Kraft, Andreas; Schnitzer, Jonas The strong homotopy structure of Poisson reduction. (English) Zbl 1510.53098 J. Noncommut. Geom. 16, No. 3, 927-966 (2022). MSC: 53D20 17B55 16W60 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chetverikov, Vladimir N. Coverings and multivector pseudosymmetries of differential equations. (English) Zbl 1458.35015 Differ. Geom. Appl. 74, Article ID 101705, 14 p. (2021). MSC: 35A30 35B05 35J05 58J70 58J72 × Cite Format Result Cite Review PDF Full Text: DOI
Willwacher, Thomas The Grothendieck-Teichmüller group action on differential forms and formality morphisms of chains. (English) Zbl 1378.18015 J. Reine Angew. Math. 726, 249-265 (2017). Reviewer: Loïc Foissy (Calais) MSC: 18D50 17B55 18G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pham, David N. Higher affine connections. (English) Zbl 1351.53034 Mediterr. J. Math. 13, No. 3, 1227-1262 (2016). MSC: 53B05 53C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bahri, Mawardi A generalized windowed Fourier transform in real Clifford algebra \(C\ell_{0,n}\). (English) Zbl 1273.15019 Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 285-298 (2013). MSC: 15A66 42B10 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Damianou, Pantelis A.; Petalidou, Fani Poisson brackets with prescribed Casimirs. I. (English) Zbl 1234.53025 Ivanova, Nataliya (ed.) et al., Proceedings of the 5th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 6–10, 2011. Nicosia: University of Cyprus, Department of Mathematics and Statistics (ISBN 978-9963-700-07-3/pbk). 61-75 (2011). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D15 53D17 58A10 70G45 × Cite Format Result Cite Review PDF
Cattaneo, Alberto S.; Felder, Giovanni Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. (English) Zbl 1217.53083 Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 111-137 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 81T40 81T70 × Cite Format Result Cite Review PDF Full Text: arXiv
Reich, Wieland; Scheuermann, Gerik Analyzing real vector fields with Clifford convolution and Clifford-Fourier transform. (English) Zbl 1213.68655 Bayro-Corrochano, Eduardo (ed.) et al., Geometric algebra computing in engineering and computer science. London: Springer (ISBN 978-1-84996-107-3/hbk; 978-1-84882-914-5/ebook). 121-133 (2010). Reviewer: Delfina Roux (Milano) MSC: 68U05 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Moya, A. M.; Fernández, V. V.; Rodrigues, W. A. jun. Multivector and extensor fields on smooth manifolds. (English) Zbl 1142.15018 Int. J. Geom. Methods Mod. Phys. 4, No. 6, 965-985 (2007). MSC: 15A66 53B15 53A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernandez, V. V.; Moya, A. M.; Rodrigues, W. A. jun.; Notte-Cuello, E. Covariant derivatives of multivector and multiform fields. (English) Zbl 1137.53308 Algebras Groups Geom. 24, No. 2, 221-235 (2007). MSC: 53B05 × Cite Format Result Cite Review PDF Full Text: arXiv
Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank Duality for harmonic differential forms via Clifford analysis. (English) Zbl 1134.30336 Adv. Appl. Clifford Algebr. 17, No. 4, 589-610 (2007). MSC: 30G35 58A10 × Cite Format Result Cite Review PDF Full Text: DOI
Tamarkin, Dmitri; Tsygan, Boris The ring of differential operators on forms in noncommutative calculus. (English) Zbl 1150.16011 Lyubich, Mikhail (ed.) et al., Graphs and patterns in mathematics and theoretical physics. Proceedings of the conference dedicated to Dennis Sullivan’s 60th birthday, June 14–21, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3666-8/hbk). Proceedings of Symposia in Pure Mathematics 73, 105-131 (2005). MSC: 16E45 16E40 58B34 16S32 18D50 55S20 53D55 × Cite Format Result Cite Review PDF
Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Gerus, Oleg F.; Shapiro, Michael The Clifford-Cauchy transform with a continuous density: N. Davydov’s theorem. (English) Zbl 1130.30034 Math. Methods Appl. Sci. 28, No. 7, 811-825 (2005). MSC: 30G35 30E20 30E25 × Cite Format Result Cite Review PDF Full Text: DOI
Elyaaqoubi, M. S.; Akhlidj, A.; Kabbaj, S. Schouten bracket. (English) Zbl 1198.53014 Math-Rech. Appl. 6, 115-141 (2004). MSC: 53B20 58A10 × Cite Format Result Cite Review PDF
Iglesias-Ponte, D. Multiplicative multivector fields in Lie groupoids. (English) Zbl 1067.22002 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, 161-166 (2004). Reviewer: Tomasz Rybicki (Kraków) MSC: 22A22 × Cite Format Result Cite Review PDF
Echeverría-Enríquez, Arturo; Marín-Solano, Jesús; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso On the construction of \(\mathcal K\)-operators in field theories as sections along Legendre maps. (English) Zbl 1028.58001 Acta Appl. Math. 77, No. 1, 1-40 (2003). MSC: 58A20 70S05 53C05 58Z05 53C80 55R10 58A30 37K99 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mikami, Kentaro An interpretation of the Schouten-Nijenhuis bracket. (English) Zbl 1042.17018 Maeda, Yoshiaki (ed.) et al., Noncommutative differential geometry and its applications to physics. Proceedings of the workshop, Shonan, Japan, May 31–June 4, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6930-0/hbk). Math. Phys. Stud. 23, 131-143 (2001). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B66 17B63 17B65 17B70 × Cite Format Result Cite Review PDF
Nadaud, François On continuous and differential Hochschild cohomology. (English) Zbl 0939.16004 Lett. Math. Phys. 47, No. 1, 85-95 (1999). Reviewer: Corina Mohorianu (Iaşi) MSC: 16E40 13D03 18G10 13D10 16S80 55N35 × Cite Format Result Cite Review PDF Full Text: DOI
Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Multivector fields and connections: setting Lagrangian equations in field theories. (English) Zbl 0927.37054 J. Math. Phys. 39, No. 9, 4578-4603 (1998). MSC: 37K10 53C05 37N20 53D05 70H06 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF
Kanatchikov, Igor V. Canonical structure of classical field theory in the polymomentum phase space. (English) Zbl 0947.70020 Rep. Math. Phys. 41, No. 1, 49-90 (1998). Reviewer: Marco Modugno (Firenze) MSC: 70S05 70G45 53C80 81S10 58E30 37J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macdonald, Alan The fundamental theorem of geometric calculus via a generalized Riemann integral. (English) Zbl 0947.26011 Adv. Appl. Clifford Algebr. 8, No. 1, 5-16 (1998). Reviewer: J.Mawhin (Louvain-La-Neuve) MSC: 26B20 26A39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ward, J. P. Quaternions and Cayley numbers: algebra and applications. (English) Zbl 0877.15031 Mathematics and its Applications (Dordrecht). 403. Dordrecht: Kluwer Academic Publishers. xi, 237 p. (1997). Reviewer: W.A.Rodrigues (Campinas) MSC: 15A66 12Dxx 11R52 15-01 17A35 × Cite Format Result Cite Review PDF
Dubois-Violette, Michel; Michor, Peter W. A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields. (English) Zbl 0844.58002 Indag. Math., New Ser. 6, No. 1, 51-66 (1995). Reviewer: Lilia Del Riego (San Luis Potosí) MSC: 58A10 37J99 17B66 17B70 53C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, J.; Urbański, P. Tangent lifts of Poisson and related structures. (English) Zbl 0872.58028 J. Phys. A, Math. Gen. 28, No. 23, 6743-6777 (1995). MSC: 37J99 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voronov, T. Geometric integration theory on supermanifolds. (English) Zbl 0839.58014 Sov. Sci. Rev., Sect. C 9, No. 1, i-iv, 1-138 (1992); corrigendum No. 2, 105-106 (1992). MSC: 58C50 × Cite Format Result Cite Review PDF
Rodríguez-Romo, Suemi; Viniegra, Fermin; Keller, Jaime Geometrical content of the Fierz identities. (English) Zbl 0760.15028 Clifford algebras and their applications in mathematical physics, Proc. 2nd Workshop, Montpellier/Fr. 1989, Fundam. Theor. Phys. 47, 479-497 (1992). Reviewer: K.Burian (Havířov) MSC: 15A66 15B33 × Cite Format Result Cite Review PDF
Kosmann-Schwarzbach, Yvette Champs affines de multivecteurs sur les groupes de Lie. (Affine multivector fields on Lie groups). (French) Zbl 0726.17030 C. R. Acad. Sci., Paris, Sér. I 312, No. 2, 233-236 (1991). Reviewer: J.Hilgert (Erlangen) MSC: 17B66 17B56 37J99 58H05 22E65 × Cite Format Result Cite Review PDF
Keller, Jaime Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics. (English) Zbl 0717.53064 Int. J. Theor. Phys. 30, No. 2, 137-184 (1991). MSC: 53C80 81R25 × Cite Format Result Cite Review PDF Full Text: DOI
Michor, Peter W. Remarks on the Schouten-Nijenhuis bracket. (English) Zbl 0646.53013 Geometry and physics, Proc. Winter Sch., Srnî/Czech. 1987, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 16, 207-215 (1987). Reviewer: I.Kolář MSC: 53A55 × Cite Format Result Cite Review PDF Full Text: EuDML
Kirillov, A. A. Invariant differential operators on geometrical quantities. (English) Zbl 0444.58021 Funct. Anal. Appl. 11, 114-118 (1977). MSC: 58J70 58J99 58A99 × Cite Format Result Cite Review PDF Full Text: DOI