Ercolani, Nicholas M. The Poisson geometry of Plancherel formulas for triangular groups. (English) Zbl 07722801 Physica D 453, Article ID 133801, 15 p. (2023). MSC: 81R12 70M20 37K10 14L24 70G45 81Q80 PDFBibTeX XMLCite \textit{N. M. Ercolani}, Physica D 453, Article ID 133801, 15 p. (2023; Zbl 07722801) Full Text: DOI arXiv
Ratiu, Tudor S.; Wacheux, Christophe; Zung, Nguyen Tien Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. (English) Zbl 1526.37002 Memoirs of the American Mathematical Society 1424. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6439-4/pbk; 978-1-4704-7540-6/ebook). v, 89 p. (2023). Reviewer: Manuel de León (Madrid) MSC: 37-02 37J35 37J39 37J12 53D05 53D20 58K45 53A15 52A01 PDFBibTeX XMLCite \textit{T. S. Ratiu} et al., Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1526.37002) Full Text: DOI arXiv
Ibort, Alberto; López-Yela, Alberto Quantum tomography and the quantum Radon transform. (English) Zbl 1483.46073 Inverse Probl. Imaging 15, No. 5, 893-928 (2021). MSC: 46L60 44A12 37A55 47N50 81P18 PDFBibTeX XMLCite \textit{A. Ibort} and \textit{A. López-Yela}, Inverse Probl. Imaging 15, No. 5, 893--928 (2021; Zbl 1483.46073) Full Text: DOI
De Bièvre, Stephan; Rota Nodari, Simona Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups. (English) Zbl 1426.70022 Arch. Ration. Mech. Anal. 231, No. 1, 233-284 (2019). MSC: 70H14 53D20 37K05 35B35 35J20 35Q55 PDFBibTeX XMLCite \textit{S. De Bièvre} and \textit{S. Rota Nodari}, Arch. Ration. Mech. Anal. 231, No. 1, 233--284 (2019; Zbl 1426.70022) Full Text: DOI arXiv
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S. The geometric nature of the Flaschka transformation. (English) Zbl 1368.37065 Commun. Math. Phys. 352, No. 2, 457-517 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J05 17B08 17B80 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Commun. Math. Phys. 352, No. 2, 457--517 (2017; Zbl 1368.37065) Full Text: DOI
Bates, Larry; Cushman, Richard A generalization of Nekhoroshev’s theorem. (English) Zbl 1428.70036 Regul. Chaotic Dyn. 21, No. 6, 639-642 (2016). MSC: 70H08 37J40 PDFBibTeX XMLCite \textit{L. Bates} and \textit{R. Cushman}, Regul. Chaotic Dyn. 21, No. 6, 639--642 (2016; Zbl 1428.70036) Full Text: DOI
De Bièvre, Stephan; Genoud, François; Nodari, Simona Rota Orbital stability: analysis meets geometry. (English) Zbl 1347.37122 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 147-273 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K45 37K05 37J25 37-01 35Q55 PDFBibTeX XMLCite \textit{S. De Bièvre} et al., Lect. Notes Math. 2146, 147--273 (2015; Zbl 1347.37122) Full Text: DOI arXiv
Ratiu, Tudor S.; Tarama, Daisuke The \(U(n)\) free rigid body: integrability and stability analysis of the equilibria. (English) Zbl 1378.70005 J. Differ. Equations 259, No. 12, 7284-7331 (2015). MSC: 70E15 70E45 34D20 37K10 70H06 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{D. Tarama}, J. Differ. Equations 259, No. 12, 7284--7331 (2015; Zbl 1378.70005) Full Text: DOI
Arnal, Didier; Selmi, Mohamed; Zergane, Amel Separation of representations with quadratic overgroups. (English) Zbl 1216.22008 Bull. Sci. Math. 135, No. 2, 141-165 (2011); erratum ibid. 135, No. 8, 1011-1013 (2011). Reviewer: Božidar Jovanović (Beograd) MSC: 22E27 37J15 22E45 22D30 PDFBibTeX XMLCite \textit{D. Arnal} et al., Bull. Sci. Math. 135, No. 2, 141--165 (2011; Zbl 1216.22008) Full Text: DOI
Patrick, George W.; Roberts, Mark; Wulff, Claudia Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods. (English) Zbl 1145.37323 Arch. Ration. Mech. Anal. 174, No. 3, 301-344 (2004). MSC: 37J25 37J15 53D20 70H14 70H33 PDFBibTeX XMLCite \textit{G. W. Patrick} et al., Arch. Ration. Mech. Anal. 174, No. 3, 301--344 (2004; Zbl 1145.37323) Full Text: DOI arXiv Link
Wulff, Claudia Persistence of Hamiltonian relative periodic orbits. (English) Zbl 1038.37045 J. Geom. Phys. 48, No. 2-3, 309-338 (2003). Reviewer: Jörg Härterich (Berlin) MSC: 37J15 37J20 53D20 70H33 70H12 PDFBibTeX XMLCite \textit{C. Wulff}, J. Geom. Phys. 48, No. 2--3, 309--338 (2003; Zbl 1038.37045) Full Text: DOI
Roberts, Mark; Wulff, Claudia; Lamb, Jeroen S. W. Hamiltonian systems near relative equilibria. (English) Zbl 1009.37039 J. Differ. Equations 179, No. 2, 562-604 (2002). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37J05 70H05 PDFBibTeX XMLCite \textit{M. Roberts} et al., J. Differ. Equations 179, No. 2, 562--604 (2002; Zbl 1009.37039) Full Text: DOI Link
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
Kirwan, Frances Momentum maps and reduction in algebraic geometry. (English) Zbl 0955.37031 Differ. Geom. Appl. 9, No. 1-2, 135-171 (1998). Reviewer: Serguei Zelik (Moskva) MSC: 37J15 14D20 14L30 37-02 PDFBibTeX XMLCite \textit{F. Kirwan}, Differ. Geom. Appl. 9, No. 1--2, 135--171 (1998; Zbl 0955.37031) Full Text: DOI
Meinrenken, Eckhard On Riemann-Roch formulas for multiplicities. (English) Zbl 0851.53020 J. Am. Math. Soc. 9, No. 2, 373-389 (1996). Reviewer: F.Kirwan (Oxford) MSC: 53C15 37J99 58J15 PDFBibTeX XMLCite \textit{E. Meinrenken}, J. Am. Math. Soc. 9, No. 2, 373--389 (1996; Zbl 0851.53020) Full Text: DOI arXiv
Belliart, Michel; Birembaux, Olivier Locally free actions of solvable Lie groups. (Actions localement libres de groupes résolubles.) (French) Zbl 0816.58021 Ann. Inst. Fourier 44, No. 5, 1519-1537 (1994). MSC: 37J35 37K10 37C85 PDFBibTeX XMLCite \textit{M. Belliart} and \textit{O. Birembaux}, Ann. Inst. Fourier 44, No. 5, 1519--1537 (1994; Zbl 0816.58021) Full Text: DOI Numdam EuDML
Prato, Elisa; Wu, Siye Duistermaat-Heckman measures in a non-compact setting. (English) Zbl 0815.58010 Compos. Math. 94, No. 2, 113-128 (1994). Reviewer: J.Hilgert (Clausthal) MSC: 37J99 PDFBibTeX XMLCite \textit{E. Prato} and \textit{S. Wu}, Compos. Math. 94, No. 2, 113--128 (1994; Zbl 0815.58010) Full Text: arXiv Numdam EuDML
Guillemin, Victor; Prato, Elisa Heckman, Kostant, and Steinberg formulas for symplectic manifolds. (English) Zbl 0718.58027 Adv. Math. 82, No. 2, 160-179 (1990). Reviewer: C.Günther (Libby) MSC: 53D50 37J99 22E70 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{E. Prato}, Adv. Math. 82, No. 2, 160--179 (1990; Zbl 0718.58027) Full Text: DOI
Ginzburg, V. A. Quantization and the method of orbits. (English. Russian original) Zbl 0616.58019 J. Sov. Math. 36, 659-672 (1987); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 22, 37-58 (1984). MSC: 53D50 17B65 37J99 PDFBibTeX XMLCite \textit{V. A. Ginzburg}, J. Sov. Math. 36, 659--672 (1987; Zbl 0616.58019); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 22, 37--58 (1984) Full Text: DOI
Magneron, Bernard Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs. (French) Zbl 0548.57024 J. Funct. Anal. 59, 90-122 (1984). MSC: 57S25 53C27 22E27 37J99 57R20 81R10 PDFBibTeX XMLCite \textit{B. Magneron}, J. Funct. Anal. 59, 90--122 (1984; Zbl 0548.57024) Full Text: DOI
Trofimov, V. V.; Fomenko, A. T. Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems. (English. Russian original) Zbl 0521.58031 Funct. Anal. Appl. 17, 23-29 (1983); translation from Funkts. Anal. Prilozh. 17, No. 1, 31-39 (1983). MSC: 37J99 37J35 37K10 PDFBibTeX XMLCite \textit{V. V. Trofimov} and \textit{A. T. Fomenko}, Funct. Anal. Appl. 17, 23--29 (1983; Zbl 0521.58031); translation from Funkts. Anal. Prilozh. 17, No. 1, 31--39 (1983) Full Text: DOI
Reyman, A. G. Integrable Hamiltonian systems connected with graded Lie algebras. (English) Zbl 0554.70010 J. Sov. Math. 19, 1507-1545 (1982). MSC: 70Hxx 70E05 37J99 37J35 37K10 53D50 17B70 22E70 35R30 PDFBibTeX XMLCite \textit{A. G. Reyman}, J. Sov. Math. 19, 1507--1545 (1982; Zbl 0554.70010) Full Text: DOI
Mishchenko, A. S.; Fomenko, A. T. Generalized Liouville method of integration of Hamiltonian systems. (English) Zbl 0405.58028 Funct. Anal. Appl. 12, 113-121 (1978). MSC: 37J35 53D25 37C10 70H05 70G45 PDFBibTeX XMLCite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Funct. Anal. Appl. 12, 113--121 (1978; Zbl 0405.58028) Full Text: DOI