Grabowski, Janusz; Ravanpak, Zohreh Discrete mechanics on unitary octonions. (English) Zbl 07820777 Int. J. Geom. Methods Mod. Phys. 18, No. 6, Article ID 2150093, 20 p. (2021). MSC: 17B66 17Dxx 20N05 22A22 70G45 70Hxx PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{Z. Ravanpak}, Int. J. Geom. Methods Mod. Phys. 18, No. 6, Article ID 2150093, 20 p. (2021; Zbl 07820777) Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz; Ravanpak, Zohreh Transitive Lie algebras of nilpotent vector fields and their Tanaka prolongations. (English) Zbl 1490.17016 J. Lie Theory 31, No. 4, 1003-1014 (2021). Reviewer: Boris Doubrov (Minsk) MSC: 17B30 17B66 57R25 57S20 PDFBibTeX XMLCite \textit{K. Grabowska} et al., J. Lie Theory 31, No. 4, 1003--1014 (2021; Zbl 1490.17016) Full Text: Link
Fialowski, Alice (ed.); Grabowska, Katarzyna (ed.); Grabowski, Janusz (ed.); Schlichenmaier, Martin (ed.) Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. (English) Zbl 1460.17002 Banach Center Publications 123. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-49-2/pbk). 186 p., open access (2021). MSC: 17-06 53-03 81-06 17Bxx 53D55 81Txx 00B25 PDFBibTeX XMLCite \textit{A. Fialowski} (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics (2021; Zbl 1460.17002) Full Text: Link
Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe Information geometry on groupoids: the case of singular metrics. (English) Zbl 1480.81018 Open Syst. Inf. Dyn. 27, No. 3, Article ID 2050015, 19 p. (2020). MSC: 81P45 53Z05 53B05 53D17 17B81 PDFBibTeX XMLCite \textit{K. Grabowska} et al., Open Syst. Inf. Dyn. 27, No. 3, Article ID 2050015, 19 p. (2020; Zbl 1480.81018) Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz Solvable Lie algebras of vector fields and a Lie’s conjecture. (English) Zbl 1490.17015 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 065, 14 p. (2020). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 17B30 17B66 57R25 57S20 PDFBibTeX XMLCite \textit{K. Grabowska} and \textit{J. Grabowski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 065, 14 p. (2020; Zbl 1490.17015) Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz; Ravanpak, Zohreh Transitive nilpotent Lie algebras of vector fields and their Tanaka prolongations. arXiv:2002.07176 Preprint, arXiv:2002.07176 [math.DG] (2020). MSC: 17B30 17B66 57R25 57S20 BibTeX Cite \textit{K. Grabowska} et al., ``Transitive nilpotent Lie algebras of vector fields and their Tanaka prolongations'', Preprint, arXiv:2002.07176 [math.DG] (2020) Full Text: arXiv OA License
Cariñena, J. F.; Grabowski, J.; de Lucas, J. Quasi-Lie schemes for PDEs. (English) Zbl 1423.35012 Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019). MSC: 35A30 17B66 22E70 37K35 81T10 81T40 81R12 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019; Zbl 1423.35012) Full Text: DOI arXiv
Grabowski, Janusz; de Lucas, Javier WITHDRAWN: Remarks on superdifferential equations. arXiv:1810.03174 Preprint, arXiv:1810.03174 [math-ph] (2018); retraction notice ibid. MSC: 34A26 58A50 15A75 32C38 BibTeX Cite \textit{J. Grabowski} and \textit{J. de Lucas}, ``WITHDRAWN: Remarks on superdifferential equations'', Preprint, arXiv:1810.03174 [math-ph] (2018); retraction notice ibid. Full Text: arXiv OA License
Fialowski, Alice (ed.); Grabowska, Katarzyna (ed.); Grabowski, Janusz (ed.); Neeb, Karl-Hermann (ed.) 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. (English) Zbl 1385.00001 Banach Center Publications 113. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-37-9/pbk). 408 p. (2017). MSC: 00B25 16-06 17-06 33-06 53-06 58-06 46-06 81-06 PDFBibTeX XMLCite \textit{A. Fialowski} (ed.) et al., 50th Seminar ``Sophus Lie'', Będlewo, Poland, September 26 -- October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics (2017; Zbl 1385.00001) Full Text: Link
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F. Geometry of Lie integrability by quadratures. (English) Zbl 1328.34010 J. Phys. A, Math. Theor. 48, No. 21, Article ID 215206, 18 p. (2015). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 34A26 37J15 37J35 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Theor. 48, No. 21, Article ID 215206, 18 p. (2015; Zbl 1328.34010) Full Text: DOI arXiv
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C. Dirac-Lie systems and Schwarzian equations. (English) Zbl 1302.34011 J. Differ. Equations 257, No. 7, 2303-2340 (2014). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 34A26 17B81 35Q53 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Differ. Equations 257, No. 7, 2303--2340 (2014; Zbl 1302.34011) Full Text: DOI arXiv
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert Lie superalgebras of differential operators. (English) Zbl 1264.58004 J. Lie Theory 23, No. 1, 35-54 (2013). MSC: 58A50 17B40 17B66 13N10 17B56 PDFBibTeX XMLCite \textit{J. Grabowski} et al., J. Lie Theory 23, No. 1, 35--54 (2013; Zbl 1264.58004) Full Text: arXiv Link
Grabowski, Janusz; de Lucas, Javier Mixed superposition rules and the Riccati hierarchy. (English) Zbl 1267.34016 J. Differ. Equations 254, No. 1, 179-198 (2013). Reviewer: Ricardo Miranda Martins (Campinas) MSC: 34A26 17B81 34A34 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{J. de Lucas}, J. Differ. Equations 254, No. 1, 179--198 (2013; Zbl 1267.34016) Full Text: DOI arXiv
Cariñena, J. F.; Grabowski, J.; de Lucas, J. Superposition rules for higher order systems and their applications. (English) Zbl 1248.34008 J. Phys. A, Math. Theor. 45, No. 18, Article ID 185202, 26 p. (2012). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34A26 22E60 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Theor. 45, No. 18, Article ID 185202, 26 p. (2012; Zbl 1248.34008) Full Text: DOI arXiv
Grabowski, Janusz; Jóźwikowski, Michał Pontryagin maximum principle on almost Lie algebroids. (English) Zbl 1228.49017 SIAM J. Control Optim. 49, No. 3, 1306-1357 (2011). MSC: 49K15 49K99 93B25 17B66 22A22 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{M. Jóźwikowski}, SIAM J. Control Optim. 49, No. 3, 1306--1357 (2011; Zbl 1228.49017) Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz Dirac algebroids in Lagrangian and Hamiltonian mechanics. (English) Zbl 1223.37064 J. Geom. Phys. 61, No. 11, 2233-2253 (2011). MSC: 37J05 70G45 70F25 70H45 70H03 70H25 17B66 PDFBibTeX XMLCite \textit{K. Grabowska} and \textit{J. Grabowski}, J. Geom. Phys. 61, No. 11, 2233--2253 (2011; Zbl 1223.37064) Full Text: DOI arXiv
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier Lie families: theory and applications. (English) Zbl 1236.34012 J. Phys. A, Math. Theor. 43, No. 30, Article ID 305201, 18 p. (2010). MSC: 34A26 34A05 34A34 17B66 22E70 34C14 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Theor. 43, No. 30, Article ID 305201, 18 p. (2010; Zbl 1236.34012) Full Text: DOI arXiv
Grabowski, Janusz; Poncin, Norbert On quantum and classical Poisson algebras. (English) Zbl 1209.17018 Kubarski, Jan (ed.) et al., Geometry and topology of manifolds. The mathematical legacy of Charles Ehresmann. On the occasion of the hundredth anniversary of his birthday. Proceedings of the conference, Bȩdlewo, Poland, May 8–15, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 76, 313-324 (2007). MSC: 17B63 53D17 17B40 17B66 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{N. Poncin}, Banach Cent. Publ. 76, 313--324 (2007; Zbl 1209.17018) Full Text: DOI arXiv
Grabowski, Janusz; Poncin, N. Derivations of the Lie algebras of differential operators. (English) Zbl 1154.17305 Indag. Math., New Ser. 16, No. 2, 181-200 (2005). MSC: 17B66 16S32 17B56 58H99 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{N. Poncin}, Indag. Math., New Ser. 16, No. 2, 181--200 (2005; Zbl 1154.17305) Full Text: DOI arXiv
Grabowski, Janusz; Poncin, Norbert Lie algebraic characterization of manifolds. (English) Zbl 1138.53313 Cent. Eur. J. Math. 2, No. 5, 811-825 (2004). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B63 17B66 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{N. Poncin}, Cent. Eur. J. Math. 2, No. 5, 811--825 (2004; Zbl 1138.53313) Full Text: DOI arXiv
Grabowski, J.; Poncin, N. Automorphisms of quantum and classical Poisson algebras. (English) Zbl 1044.17013 Compos. Math. 140, No. 2, 511-527 (2004). Reviewer: Angela Gammella (Nogent sur Oise) MSC: 17B63 53D17 17B37 17B40 17B66 16S32 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{N. Poncin}, Compos. Math. 140, No. 2, 511--527 (2004; Zbl 1044.17013) Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł Lie brackets on affine bundles. (English) Zbl 1044.53056 Ann. Global Anal. Geom. 24, No. 2, 101-130 (2003). Reviewer: Olga Radko (Los Angeles) MSC: 53D17 17B66 70G45 PDFBibTeX XMLCite \textit{K. Grabowska} et al., Ann. Global Anal. Geom. 24, No. 2, 101--130 (2003; Zbl 1044.53056) Full Text: DOI arXiv
Grabowski, Janusz (ed.); Urbański, Paweł (ed.) Poisson geometry. Stanisław Zakrzewski in memoriam. (English) Zbl 0936.00035 Banach Center Publications. 51. Warszawa: Polish Academy of Sciences, Institute of Mathematics, 292 p. (2000). MSC: 00B25 53-06 17-06 53Dxx 17B63 PDFBibTeX XMLCite \textit{J. Grabowski} (ed.) and \textit{P. Urbański} (ed.), Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics (2000; Zbl 0936.00035)
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. Poisson structures on double Lie groups. (English) Zbl 1020.17016 J. Geom. Phys. 26, No. 3-4, 340-379 (1998). Reviewer: O.Ninnemann (Berlin) MSC: 17B63 17B62 53D17 17-02 53-02 37J05 53C15 PDFBibTeX XMLCite \textit{D. Alekseevsky} et al., J. Geom. Phys. 26, No. 3--4, 340--379 (1998; Zbl 1020.17016) Full Text: DOI arXiv
Grabowski, Janusz \(\mathbb{Z}\)-graded extensions of Poisson brackets. (English) Zbl 0872.58029 Rev. Math. Phys. 9, No. 1, 1-27 (1997). Reviewer: M.Puta (Timişoara) MSC: 37J99 17B66 PDFBibTeX XMLCite \textit{J. Grabowski}, Rev. Math. Phys. 9, No. 1, 1--27 (1997; Zbl 0872.58029) Full Text: DOI
Grabowski, Janusz Ideals of the Lie algebras of vector fields. (English) Zbl 1009.17506 Bureš, J. (ed.) et al., The proceedings of the Winter school Geometry and topology, Srní, Czechoslovakia, January 1992. Palermo: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 32, 89-95 (1994). MSC: 17B66 57R25 PDFBibTeX XMLCite \textit{J. Grabowski}, in: The proceedings of the winter school geometry and topology, Srní, Czechoslovakia, January 1992. Palermo: Circolo Matemático di Palermo. 89--95 (1994; Zbl 1009.17506)
Grabowski, Janusz A Poisson-Lie structure on the diffeomorphism group of a circle. (English) Zbl 0866.17018 Lett. Math. Phys. 32, No. 4, 307-313 (1994). MSC: 17B66 57R99 17B65 PDFBibTeX XMLCite \textit{J. Grabowski}, Lett. Math. Phys. 32, No. 4, 307--313 (1994; Zbl 0866.17018) Full Text: DOI
Grabowski, Janusz Derivative of the exponential mapping for infinite dimensional Lie groups. (English) Zbl 0836.22028 Ann. Global Anal. Geom. 11, No. 3, 213-220 (1993). MSC: 22E65 58D05 58B25 PDFBibTeX XMLCite \textit{J. Grabowski}, Ann. Global Anal. Geom. 11, No. 3, 213--220 (1993; Zbl 0836.22028)
Grabowski, Janusz Lie algebras of vector fields and generalized foliations. (English) Zbl 0841.53027 Publ. Mat., Barc. 37, No. 2, 359-367 (1993). Reviewer: M.Modugno (Firenze) MSC: 53C12 17B66 PDFBibTeX XMLCite \textit{J. Grabowski}, Publ. Mat., Barc. 37, No. 2, 359--367 (1993; Zbl 0841.53027) Full Text: DOI EuDML
Grabowski, J. Abstract Jacobi and Poisson structures. Quantization and star-products. (English) Zbl 0761.16012 J. Geom. Phys. 9, No. 1, 45-73 (1992). Reviewer: F.Rouvière (Nice) MSC: 16S80 37J99 17B65 17B35 PDFBibTeX XMLCite \textit{J. Grabowski}, J. Geom. Phys. 9, No. 1, 45--73 (1992; Zbl 0761.16012) Full Text: DOI
Grabowski, Janusz Remarks on nilpotent Lie algebras of vector fields. (English) Zbl 0687.57009 J. Reine Angew. Math. 406, 1-4 (1990). Reviewer: J.Grabowski MSC: 57R25 17B30 57R30 PDFBibTeX XMLCite \textit{J. Grabowski}, J. Reine Angew. Math. 406, 1--4 (1990; Zbl 0687.57009) Full Text: DOI Crelle EuDML
Grabowski, Janusz Derivations of the Lie algebras of analytic vector fields. (English) Zbl 0476.57010 Compos. Math. 43, 239-252 (1981). MSC: 57R25 58A07 17B40 37-XX 32C05 32M99 17B65 32E10 PDFBibTeX XMLCite \textit{J. Grabowski}, Compos. Math. 43, 239--252 (1981; Zbl 0476.57010) Full Text: Numdam EuDML
Grabowski, Janusz On the structure of ideals and isomorphisms of some Lie algebras of vectorfields. (English) Zbl 0402.57007 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 26, 425-427 (1978). MSC: 57R25 57R55 17B66 PDFBibTeX XMLCite \textit{J. Grabowski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 26, 425--427 (1978; Zbl 0402.57007)
Grabowski, Janusz Isomorphisms and ideals of the Lie algebras of vector fields. (English) Zbl 0378.57010 Invent. Math. 50, 13-33 (1978). MSC: 57R25 17B66 PDFBibTeX XMLCite \textit{J. Grabowski}, Invent. Math. 50, 13--33 (1978; Zbl 0378.57010) Full Text: DOI EuDML