Mokhtari, Fahimeh; Sanders, Jan A. Equivariant decomposition of polynomial vector fields. (English) Zbl 07442604 Commun. Contemp. Math. 23, No. 8, Article ID 2050083, 31 p. (2021). MSC: 17B66 34C20 70G65 70K45 15A72 PDF BibTeX XML Cite \textit{F. Mokhtari} and \textit{J. A. Sanders}, Commun. Contemp. Math. 23, No. 8, Article ID 2050083, 31 p. (2021; Zbl 07442604) Full Text: DOI arXiv OpenURL
Gubarev, Vsevolod Rota-Baxter operators and Bernoulli polynomials. (English) Zbl 1476.11038 Commun. Math. 29, No. 1, 1-14 (2021). MSC: 11B68 16W99 17B38 PDF BibTeX XML Cite \textit{V. Gubarev}, Commun. Math. 29, No. 1, 1--14 (2021; Zbl 1476.11038) Full Text: DOI arXiv OpenURL
Wu, Yemo; Xu, Xiurong; Zuo, Dafeng Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions. (English) Zbl 1472.35281 Front. Math. China 15, No. 6, 1231-1243 (2020). MSC: 35Q31 17B68 32M10 37K10 76B15 PDF BibTeX XML Cite \textit{Y. Wu} et al., Front. Math. China 15, No. 6, 1231--1243 (2020; Zbl 1472.35281) Full Text: DOI OpenURL
Nichita, Florin F. Unification theories: new results and examples. (English) Zbl 1432.17036 Axioms 8, No. 2, Paper No. 60, 5 p. (2019). MSC: 17C05 17C50 16T15 16T25 PDF BibTeX XML Cite \textit{F. F. Nichita}, Axioms 8, No. 2, Paper No. 60, 5 p. (2019; Zbl 1432.17036) Full Text: DOI OpenURL
Zuo, Dafeng Supersymmetric Euler equations associated to the \(N \leq 3\) Neveu-Schwarz algebra. (English) Zbl 1472.37063 J. Math. Phys. 60, No. 12, 123505, 11 p. (2019). MSC: 37J37 17B65 17B80 PDF BibTeX XML Cite \textit{D. Zuo}, J. Math. Phys. 60, No. 12, 123505, 11 p. (2019; Zbl 1472.37063) Full Text: DOI OpenURL
Fedorchuk, V. M.; Fedorchuk, V. I. On reductions of the Euler-Lagrange-Born-Infeld equation. (English) Zbl 1438.35103 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 193-202 (2019). Reviewer: M. O. Nesterenko (Kyïv) MSC: 35F21 17B81 35A25 PDF BibTeX XML Cite \textit{V. M. Fedorchuk} and \textit{V. I. Fedorchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 193--202 (2019; Zbl 1438.35103) OpenURL
Ma, Shilin; Wu, Yemo; Zuo, Dafeng The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases. (English) Zbl 1408.35138 J. Geom. Phys. 135, 32-41 (2019). MSC: 35Q31 35Q53 17B68 17B66 PDF BibTeX XML Cite \textit{S. Ma} et al., J. Geom. Phys. 135, 32--41 (2019; Zbl 1408.35138) Full Text: DOI OpenURL
Nichita, Florin F. Unification theories: examples and applications. (English) Zbl 1432.17035 Axioms 7, No. 4, Paper No. 85, 5 p. (2018). MSC: 17C05 16T25 PDF BibTeX XML Cite \textit{F. F. Nichita}, Axioms 7, No. 4, Paper No. 85, 5 p. (2018; Zbl 1432.17035) Full Text: DOI OpenURL
Ge, Yanyan; Zuo, Dafeng A new class of Euler equation on the dual of the \(N=1\) extended Neveu-Schwarz algebra. (English) Zbl 1403.37074 J. Math. Phys. 59, No. 11, 113505, 8 p. (2018). MSC: 37K10 35Q31 17A70 81Q60 76B15 PDF BibTeX XML Cite \textit{Y. Ge} and \textit{D. Zuo}, J. Math. Phys. 59, No. 11, 113505, 8 p. (2018; Zbl 1403.37074) Full Text: DOI OpenURL
Izosimov, Anton; Khesin, Boris Vortex sheets and diffeomorphism groupoids. (English) Zbl 1442.76001 Adv. Math. 338, 447-501 (2018). MSC: 76-02 35Q31 53Z05 17B81 76B99 PDF BibTeX XML Cite \textit{A. Izosimov} and \textit{B. Khesin}, Adv. Math. 338, 447--501 (2018; Zbl 1442.76001) Full Text: DOI arXiv OpenURL
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey Differential invariants for plane flows of inviscid fluids. (English) Zbl 1390.35245 Anal. Math. Phys. 8, No. 1, 135-154 (2018). MSC: 35Q31 76N15 80A20 17B81 PDF BibTeX XML Cite \textit{A. Duyunova} et al., Anal. Math. Phys. 8, No. 1, 135--154 (2018; Zbl 1390.35245) Full Text: DOI OpenURL
El-Nabulsi, R. A. Non-standard higher-order \(G\)-strand partial differential equations on matrix Lie algebra. (English) Zbl 1474.17039 J. Niger. Math. Soc. 36, No. 1, 101-112 (2017). MSC: 17B66 35Q05 70S05 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi}, J. Niger. Math. Soc. 36, No. 1, 101--112 (2017; Zbl 1474.17039) Full Text: Link OpenURL
Esen, Oğul; Sütlü, Serkan Lagrangian dynamics on matched pairs. (English) Zbl 1393.37067 J. Geom. Phys. 111, 142-157 (2017). MSC: 37J05 17B80 PDF BibTeX XML Cite \textit{O. Esen} and \textit{S. Sütlü}, J. Geom. Phys. 111, 142--157 (2017; Zbl 1393.37067) Full Text: DOI arXiv OpenURL
Casati, Matteo Dispersive deformations of the Hamiltonian structure of Euler’s equations. (English. Russian original) Zbl 1351.35111 Theor. Math. Phys. 188, No. 3, 1296-1304 (2016); translation from Teor. Mat. Fiz. 188, No. 3, 386-396 (2016). MSC: 35Q31 17B63 17B69 PDF BibTeX XML Cite \textit{M. Casati}, Theor. Math. Phys. 188, No. 3, 1296--1304 (2016; Zbl 1351.35111); translation from Teor. Mat. Fiz. 188, No. 3, 386--396 (2016) Full Text: DOI arXiv OpenURL
Grebenev, V. N.; Oberlack, M.; Megrabov, A. G.; Grishkov, A. N. Symmetry transformations of an ideal steady fluid flow determined by a potential function. (English) Zbl 1349.76027 J. Math. Phys. 57, No. 10, 103506, 15 p. (2016). MSC: 76B10 76M60 17B81 35Q31 PDF BibTeX XML Cite \textit{V. N. Grebenev} et al., J. Math. Phys. 57, No. 10, 103506, 15 p. (2016; Zbl 1349.76027) Full Text: DOI OpenURL
Zuo, Dafeng The Frobenius-Virasoro algebra and Euler equations. (English) Zbl 1304.35627 J. Geom. Phys. 86, 203-210 (2014). MSC: 35Q53 17B68 35Q31 PDF BibTeX XML Cite \textit{D. Zuo}, J. Geom. Phys. 86, 203--210 (2014; Zbl 1304.35627) Full Text: DOI arXiv OpenURL
Strachan, Ian A. B.; Szablikowski, Błażej M. Novikov algebras and a classification of multicomponent Camassa-Holm equations. (English) Zbl 1301.35139 Stud. Appl. Math. 133, No. 1, 84-117 (2014). MSC: 35Q53 17B80 37K10 35Q31 17A30 35C08 PDF BibTeX XML Cite \textit{I. A. B. Strachan} and \textit{B. M. Szablikowski}, Stud. Appl. Math. 133, No. 1, 84--117 (2014; Zbl 1301.35139) Full Text: DOI arXiv Link OpenURL
Grundland, A. Michel; Hariton, Alexander J. Supersymmetric version of the Euler system and its invariant solutions. (English) Zbl 1351.35115 Symmetry 5, No. 3, 253-270 (2013). MSC: 35Q31 76M60 81T60 17A70 PDF BibTeX XML Cite \textit{A. M. Grundland} and \textit{A. J. Hariton}, Symmetry 5, No. 3, 253--270 (2013; Zbl 1351.35115) Full Text: DOI OpenURL
Irtegov, Valentin; Titorenko, Tatyana On stationary sets of Euler’s equations on \(so(3,1)\) and their stability. (English) Zbl 1412.17013 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 15th international workshop, CASC 2013, Berlin, Germany, September 9–13, 2013. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8136, 179-193 (2013). MSC: 17B80 68W30 70E40 PDF BibTeX XML Cite \textit{V. Irtegov} and \textit{T. Titorenko}, Lect. Notes Comput. Sci. 8136, 179--193 (2013; Zbl 1412.17013) Full Text: DOI OpenURL
Eshaghi Gordji, M.; Farrokhzad, R.; Hosseinioun, S. A. R. Hyers-Ulam stability of ternary \((\sigma, \tau, \xi)\)-derivations on \(C^*\)-ternary algebras. (English) Zbl 1266.39035 J. Math. Phys. Anal. Geom. 8, No. 1, 3-20 (2012). Reviewer: Andrzej Smajdor (Kraków) MSC: 39B82 47C10 46L05 39B52 17A40 46L57 PDF BibTeX XML Cite \textit{M. Eshaghi Gordji} et al., J. Math. Phys. Anal. Geom. 8, No. 1, 3--20 (2012; Zbl 1266.39035) Full Text: arXiv OpenURL
Brezhnev, Yurii V.; Lyakhovich, Simon L.; Sharapov, Alexey A. Dynamical systems defining Jacobi’s \(\theta\)-constants. (English) Zbl 1272.37030 J. Math. Phys. 52, No. 11, 112704, 21 p. (2011). MSC: 37K05 35Q05 17B63 53D17 PDF BibTeX XML Cite \textit{Y. V. Brezhnev} et al., J. Math. Phys. 52, No. 11, 112704, 21 p. (2011; Zbl 1272.37030) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Grabowska} and \textit{J. Grabowski}, J. Geom. Phys. 61, No. 11, 2233--2253 (2011; Zbl 1223.37064) Full Text: DOI arXiv OpenURL
Popov, S. I.; Respondek, W.; Strelcyn, J.-M. On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited. (English) Zbl 1231.35159 Phys. Lett., A 373, No. 29, 2445-2453 (2009). MSC: 35Q31 35Q05 17B08 70H05 70H33 22E70 PDF BibTeX XML Cite \textit{S. I. Popov} et al., Phys. Lett., A 373, No. 29, 2445--2453 (2009; Zbl 1231.35159) Full Text: DOI OpenURL
Park, Choonkil Generalized Hyers-Ulam stability of \(C^*\)-ternary algebra homomorphisms. (English) Zbl 1172.39036 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. 1, 67-79 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B52 17A40 46B03 46L57 PDF BibTeX XML Cite \textit{C. Park}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. 1, 67--79 (2009; Zbl 1172.39036) OpenURL
Godlewski, Piotr Exponential solutions of Euler-Lagrange equations for field of linear frames in nonlinear model of Born-Infeld type. (English) Zbl 1160.83344 Rep. Math. Phys. 62, No. 2, 167-181 (2008). MSC: 83D05 17B45 PDF BibTeX XML Cite \textit{P. Godlewski}, Rep. Math. Phys. 62, No. 2, 167--181 (2008; Zbl 1160.83344) Full Text: DOI OpenURL
Martínez, Eduardo Variational calculus on Lie algebroids. (English) Zbl 1135.49027 ESAIM, Control Optim. Calc. Var. 14, No. 2, 356-380 (2008). MSC: 49S05 49K15 58D15 70H25 17B66 22A22 PDF BibTeX XML Cite \textit{E. Martínez}, ESAIM, Control Optim. Calc. Var. 14, No. 2, 356--380 (2008; Zbl 1135.49027) Full Text: DOI arXiv EuDML OpenURL
Olshanetsky, M. A. Elliptic hydrodynamics and quadratic algebras of vector fields on a torus. (English. Russian original) Zbl 1388.37078 Theor. Math. Phys. 150, No. 3, 301-314 (2007); translation from Teor. Mat. Fiz. 150, No. 3, 355-370 (2007). MSC: 37K65 17B65 37K10 35Q31 37N10 PDF BibTeX XML Cite \textit{M. A. Olshanetsky}, Theor. Math. Phys. 150, No. 3, 301--314 (2007; Zbl 1388.37078); translation from Teor. Mat. Fiz. 150, No. 3, 355--370 (2007) Full Text: DOI OpenURL
Mikheyev, V.; Shirokov, I. Building of heat kernel on non-compact homogeneous spaces. (English) Zbl 1153.81508 EJTP, Electron. J. Theor. Phys. 3, No. 13, 99-108 (2006). MSC: 81S10 53D50 82B30 17B63 17C90 22E70 35Q05 35Q40 37K05 37K40 70E17 70G65 70H06 81R12 PDF BibTeX XML Cite \textit{V. Mikheyev} and \textit{I. Shirokov}, EJTP, Electron. J. Theor. Phys. 3, No. 13, 99--108 (2006; Zbl 1153.81508) OpenURL
Khorshidi, H. Topology of an integrable Hamiltonian system for the Steklov case on Lie algebra \(so(4)\). (Russian, English) Zbl 1150.37380 Vestn. Mosk. Univ., Ser. I 2006, No. 5, 58-61 (2006); translation in Mosc. Univ. Mech. Bull. 61, No. 5, 40-44 (2006). Reviewer: A. A. Martynyuk (Kyïv) MSC: 37K10 37K30 70E15 17B45 PDF BibTeX XML Cite \textit{H. Khorshidi}, Vestn. Mosk. Univ., Ser. I 2006, No. 5, 58--61 (2006; Zbl 1150.37380); translation in Mosc. Univ. Mech. Bull. 61, No. 5, 40--44 (2006) OpenURL
Iglesias, D.; Marrero, J. C.; Padrón, E.; Sosa, D. Lagrangian submanifolds and dynamics on Lie affgebroids. (English) Zbl 1143.53073 Rep. Math. Phys. 57, No. 3, 385-436 (2006). Reviewer: Bojidar Cheshankov (Sofia) MSC: 53D12 17B66 70G45 70H03 70H05 70H20 PDF BibTeX XML Cite \textit{D. Iglesias} et al., Rep. Math. Phys. 57, No. 3, 385--436 (2006; Zbl 1143.53073) Full Text: DOI arXiv OpenURL
Casati, Paolo; Ortenzi, Giovanni Bihamiltonian equations on polynomial Virasoro algebras. (English) Zbl 1110.35074 J. Nonlinear Math. Phys. 13, No. 1-4, 352-364 (2006). MSC: 35Q53 37K10 17B68 PDF BibTeX XML Cite \textit{P. Casati} and \textit{G. Ortenzi}, J. Nonlinear Math. Phys. 13, No. 1--4, 352--364 (2006; Zbl 1110.35074) Full Text: DOI Link OpenURL
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. Gauge invariance and variational trivial problems on the bundle of connections. (English) Zbl 1067.58013 Differ. Geom. Appl. 19, No. 2, 127-145 (2003). MSC: 58E30 17B66 22E65 53C07 81R10 PDF BibTeX XML Cite \textit{M. Castrillón López} et al., Differ. Geom. Appl. 19, No. 2, 127--145 (2003; Zbl 1067.58013) Full Text: DOI OpenURL
Myung, Hyo Chul; Lee, Dong Soo Jacobi elliptic algebras of \(SO(3)\). (English) Zbl 0886.17003 Glasg. Math. J. 39, No. 1, 115-120 (1997). Reviewer: S.Walcher (München) MSC: 17A30 53B05 22E15 PDF BibTeX XML Cite \textit{H. C. Myung} and \textit{D. S. Lee}, Glasg. Math. J. 39, No. 1, 115--120 (1997; Zbl 0886.17003) Full Text: DOI OpenURL
Robart, Thierry On the integrability of infinite dimensional Lie subalgebras. (Sur l’intégrabilité des sous-algèbres de Lie en dimension infinie.) (French) Zbl 0888.22016 Can. J. Math. 49, No. 4, 820-839 (1997). Reviewer: J.Grabowski (Warszawa) MSC: 22E65 58H05 17B65 PDF BibTeX XML Cite \textit{T. Robart}, Can. J. Math. 49, No. 4, 820--839 (1997; Zbl 0888.22016) Full Text: DOI OpenURL
de Azcárraga, José A.; Izquierdo, José M. Lie groups, Lie algebras, cohomology and some applications in physics. (English) Zbl 0836.22027 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press. xvii, 455 p. (1995). Reviewer: A.A.Bogush (Minsk) MSC: 22E60 17B56 17B65 17B67 57T10 81R10 17B68 81T13 17-02 22-02 20J06 20J05 PDF BibTeX XML Cite \textit{J. A. de Azcárraga} and \textit{J. M. Izquierdo}, Lie groups, Lie algebras, cohomology and some applications in physics. Cambridge: Cambridge Univ. Press (1995; Zbl 0836.22027) OpenURL
Yur’ev, D. V. Quantum projective field theory: Quantum-field analogs of the Euler- Arnol’d equations in projective \(G\) multiplets. (English. Russian original) Zbl 0827.58068 Theor. Math. Phys. 98, No. 2, 147-161 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 220-240 (1994). Reviewer: C.S.Sharma (London) MSC: 58Z05 81T40 81R10 17B81 PDF BibTeX XML Cite \textit{D. V. Yur'ev}, Theor. Math. Phys. 98, No. 2, 1 (1994; Zbl 0827.58068); translation from Teor. Mat. Fiz. 98, No. 2, 220--240 (1994) Full Text: DOI OpenURL
Chakravarty, Sarbarish; Kent, Steven; Newman, Ezra T. Diffeomorphism algebras and the Nahm and Ward equations. (English) Zbl 0744.58074 J. Math. Phys. 33, No. 1, 382-387 (1992). MSC: 58J90 35Q53 35Q55 17B65 81R10 81T13 PDF BibTeX XML Cite \textit{S. Chakravarty} et al., J. Math. Phys. 33, No. 1, 382--387 (1992; Zbl 0744.58074) Full Text: DOI OpenURL
Meshcheryakov, M. V. Characterization of a class of left-invariant metrics on perfect metrizable Lie algebras. (Russian) Zbl 0766.58021 Selected questions of algebra, geometry and discrete mathematics, Moskva, 89-94 (1988). Reviewer: V.Pestov (Wellington) MSC: 37J99 17B20 PDF BibTeX XML Cite \textit{M. V. Meshcheryakov}, in: Classification of a class of metabelian Lie algebras of the maximal nilpotent class. . 89--94 (1988; Zbl 0766.58021) OpenURL
Ovsienko, V. Yu.; Khesin, B. A. Korteweg - de Vries suoerequation as an Euler equation. (English. Russian original) Zbl 0655.58018 Funct. Anal. Appl. 21, No. 4, 329-331 (1987); translation from Funkts. Anal. Prilozh. 21, No. 4, 81-82 (1987). MSC: 37J35 37K10 35Q99 17B99 PDF BibTeX XML Cite \textit{V. Yu. Ovsienko} and \textit{B. A. Khesin}, Funct. Anal. Appl. 21, No. 4, 329--331 (1987; Zbl 0655.58018); translation from Funkts. Anal. Prilozh. 21, No. 4, 81--82 (1987) Full Text: DOI OpenURL
Ovsienko, V. Yu.; Khesin, B. A. The Korteweg-de Vries superequation as Euler equation. (Russian) Zbl 0639.58019 Funkts. Anal. Prilozh. 21, No. 4, 81-82 (1987). Reviewer: A.Givental’ MSC: 37J35 37K10 35Q99 17B99 PDF BibTeX XML Cite \textit{V. Yu. Ovsienko} and \textit{B. A. Khesin}, Funkts. Anal. Prilozh. 21, No. 4, 81--82 (1987; Zbl 0639.58019) OpenURL
Crampin, M.; Ibort, L. A. Graded Lie algebras of derivations and Ehresmann connections. (English) Zbl 0615.53017 J. Math. Pures Appl., IX. Sér. 66, 113-125 (1987). Reviewer: I.D.Albu MSC: 53C05 17B70 53C80 PDF BibTeX XML Cite \textit{M. Crampin} and \textit{L. A. Ibort}, J. Math. Pures Appl. (9) 66, 113--125 (1987; Zbl 0615.53017) OpenURL
Mikityuk, I. V. Integrability of the Euler equations associated with filtrations of semisimple Lie algebras. (English) Zbl 0601.58036 Math. USSR, Sb. 53, 541-549 (1986). MSC: 37J99 34C40 17B20 17B40 PDF BibTeX XML Cite \textit{I. V. Mikityuk}, Math. USSR, Sb. 53, 541--549 (1986; Zbl 0601.58036) Full Text: DOI OpenURL
Trofimov, V. V. Extensions of Lie algebras and Hamiltonian systems. (English) Zbl 0578.58023 Math. USSR, Izv. 23, 561-578 (1984). MSC: 37J35 37K10 70H05 17B20 PDF BibTeX XML Cite \textit{V. V. Trofimov}, Math. USSR, Izv. 23, 561--578 (1984; Zbl 0578.58023) Full Text: DOI OpenURL
Mikityuk, I. V. Integrability of Euler equations connected with filtrations of semisimple Lie algebras. (Russian) Zbl 0578.58013 Mat. Sb., N. Ser. 125(167), No. 4(12), 539-546 (1984). Reviewer: J.J.Telega MSC: 58E99 17B20 PDF BibTeX XML Cite \textit{I. V. Mikityuk}, Mat. Sb., Nov. Ser. 125(167), No. 4(12), 539--546 (1984; Zbl 0578.58013) Full Text: EuDML OpenURL
Trofimov, V. V. Extensions of Lie algebras and Hamiltonian systems. (Russian) Zbl 0547.58024 Izv. Akad. Nauk SSSR, Ser. Mat. 47, No. 6, 1303-1321 (1983). Reviewer: G.V.P.Khmelevskaya MSC: 37J35 37K10 70H05 17B99 PDF BibTeX XML Cite \textit{V. V. Trofimov}, Izv. Akad. Nauk SSSR, Ser. Mat. 47, No. 6, 1303--1321 (1983; Zbl 0547.58024) OpenURL
Veselov, A. P. On integrability conditions for the Euler equations on SO(4). (English. Russian original) Zbl 0539.58013 Sov. Math., Dokl. 27, 740-742 (1983); translation from Dokl. Akad. Nauk SSSR 270, 1298-1300 (1983). Reviewer: A.Knörrer MSC: 37J35 37K10 70E15 17B45 37C85 PDF BibTeX XML Cite \textit{A. P. Veselov}, Sov. Math., Dokl. 27, 740--742 (1983; Zbl 0539.58013); translation from Dokl. Akad. Nauk SSSR 270, 1298--1300 (1983) OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0524.58014 Mathematique et physique, Semin. Ec. Norm. Super., Paris 1979-1982, Prog. Math. 37, 237-246 (1983). MSC: 37J99 14H40 17B65 22E65 22E70 70H99 PDF BibTeX XML OpenURL
Mishchenko, A. S.; Fomenko, A. T. Integrability of Euler equations on semisimple Lie algebras. (English) Zbl 0517.58024 Sel. Math. Sov. 2, 207-291 (1982). MSC: 37J35 37K10 17B20 35Q05 37J99 58J99 PDF BibTeX XML Cite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Sel. Math. Sov. 2, 207--291 (1982; Zbl 0517.58024) OpenURL
Ratiu, Tudor Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. (English) Zbl 0509.58026 Am. J. Math. 104, 409-448 (1982). MSC: 37J35 37K10 70H05 17B20 PDF BibTeX XML Cite \textit{T. Ratiu}, Am. J. Math. 104, 409--448 (1982; Zbl 0509.58026) Full Text: DOI Link OpenURL
Trofimov, V. V. Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality. (English. Russian original) Zbl 0509.58025 Sov. Math., Dokl. 25, 449-453 (1982); translation from Dokl. Akad. Nauk SSSR 263, 812-816 (1982). MSC: 37J35 37K10 17B45 PDF BibTeX XML Cite \textit{V. V. Trofimov}, Sov. Math., Dokl. 25, 449--453 (1982; Zbl 0509.58025); translation from Dokl. Akad. Nauk SSSR 263, 812--816 (1982) OpenURL
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDF BibTeX XML OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0492.58014 Semin. Bourbaki, 33e annee, Vol. 1980/81, Exp. 566, Lect. Notes Math. 901, 85-94 (1981). MSC: 37J99 17B65 14H40 70H99 22E65 22E70 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Mishchenko, A. S.; Fomenko, A. T. The integrability of the Euler equations on semi-simple Lie algebras. (Russian) Zbl 0452.58015 Tr. Semin. Vektorn. Tenzorn. Anal. Prilozh. Geom. Mekh. Fiz. 19, 3-94 (1979). MSC: 37J35 37K10 37J99 58J99 17B20 35Q05 PDF BibTeX XML Cite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Tr. Semin. Vektorn. Tenzorn. Anal. 19, 3--94 (1979; Zbl 0452.58015) OpenURL
Gel’fand, I. M.; Manin, Yu. I.; Shubin, M. A. Poisson brackets and the kernel of the variational derivative in the formal calculus of variations. (English) Zbl 0534.58024 Funct. Anal. Appl. 10 (1976), 274-278 (1977). MSC: 58E99 17B99 49J99 PDF BibTeX XML OpenURL
Gel’fand, I. M.; Manin, Yu. I.; Shubin, M. A. Poissonklammern und der Kern einer Variationsableitung in der formalen Variationsrechnung. (Russian) Zbl 0395.58005 Funkts. Anal. Prilozh. 10, No. 4, 30-34 (1976). MSC: 58E99 17B99 49J99 PDF BibTeX XML Cite \textit{I. M. Gel'fand} et al., Funkts. Anal. Prilozh. 10, No. 4, 30--34 (1976; Zbl 0395.58005) OpenURL