Relevant bibliographies by topics / Symplectic group of similitudes

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Symplectic group of similitudes'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Symplectic group of similitudes"

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Lee, Kwankyu. "A counting formula about the symplectic similitude group." Bulletin of the Australian Mathematical Society 63, no. 1 (2001): 15–20. http://dx.doi.org/10.1017/s0004972700019079.

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FLICKER, YUVAL Z. "CUSP FORMS ON GSp(4) WITH SO(4)-PERIODS." International Journal of Number Theory 07, no. 04 (2011): 855–919. http://dx.doi.org/10.1142/s1793042111004186.

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The Saito–Kurokawa lifting of automorphic representations from PGL(2) to the projective symplectic group of similitudes PGSp(4) of genus 2 is studied using the Fourier summation formula (an instance of the "relative trace formula"), thus characterizing the image as the representations with a nonzero period for the special orthogonal group SO(4, E/F) associated to a quadratic extension E of the global base field F, and a nonzero Fourier coefficient for a generic character of the unipotent radical of the Siegel parabolic subgroup. The image is nongeneric and almost everywhere nontempered, violat
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VINROOT, C. RYAN. "CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC." Journal of Algebra and Its Applications 09, no. 04 (2010): 633–58. http://dx.doi.org/10.1142/s0219498810004166.

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Let 𝔽q be a finite field with q elements, where q is the power of an odd prime, and let GSp (2n, 𝔽q) and GO ±(2n, 𝔽q) denote the symplectic and orthogonal groups of similitudes over 𝔽q, respectively. We prove that every real-valued irreducible character of GSp (2n, 𝔽q) or GO ±(2n, 𝔽q) is the character of a real representation, and we find the sum of the dimensions of the real representations of each of these groups. We also show that if G is a classical connected group defined over 𝔽q with connected center, with dimension d and rank r, then the sum of the degrees of the irreducible characters
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Berger, Tobias. "Arithmetic properties of similitude theta lifts from orthogonal to symplectic groups." Manuscripta Mathematica 143, no. 3-4 (2013): 389–417. http://dx.doi.org/10.1007/s00229-013-0628-8.

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Sorensen, Claus M. "Level-raising for Saito–Kurokawa forms." Compositio Mathematica 145, no. 4 (2009): 915–53. http://dx.doi.org/10.1112/s0010437x09004084.

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AbstractThis paper provides congruences between unstable and stable automorphic forms for the symplectic similitude group GSp(4). More precisely, we raise the level of certain CAP representations Π arising from classical modular forms. We first transfer Π to π on a suitable inner form G; this is achieved by θ-lifting. For π, we prove a precise level-raising result that is inspired by the work of Bellaiche and Clozel and which relies on computations of Schmidt. We thus obtain a $\tilde {\pi }$ congruent to π, with a local component that is irreducibly induced from an unramified twist of the Ste
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Scharlau, Rudolf, and Pham Huu Tiep. "Symplectic group lattices." Transactions of the American Mathematical Society 351, no. 5 (1999): 2101–39. http://dx.doi.org/10.1090/s0002-9947-99-02469-1.

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Li, Tian-Jun, and Weiwei Wu. "Lagrangian spheres, symplectic surfaces and the symplectic mapping class group." Geometry & Topology 16, no. 2 (2012): 1121–69. http://dx.doi.org/10.2140/gt.2012.16.1121.

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Gow, R. "Commutators in the symplectic group." Archiv der Mathematik 50, no. 3 (1988): 204–9. http://dx.doi.org/10.1007/bf01187734.

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Herbig, Hans-Christian, Gerald W. Schwarz, and Christopher Seaton. "Symplectic quotients have symplectic singularities." Compositio Mathematica 156, no. 3 (2020): 613–46. http://dx.doi.org/10.1112/s0010437x19007784.

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Let $K$ be a compact Lie group with complexification $G$, and let $V$ be a unitary $K$-module. We consider the real symplectic quotient $M_{0}$ at level zero of the homogeneous quadratic moment map as well as the complex symplectic quotient, defined here as the complexification of $M_{0}$. We show that if $(V,G)$ is $3$-large, a condition that holds generically, then the complex symplectic quotient has symplectic singularities and is graded Gorenstein. This implies in particular that the real symplectic quotient is graded Gorenstein. In case $K$ is a torus or $\operatorname{SU}_{2}$, we show t
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Brendle, Tara E., and Dan Margalit. "The level four braid group." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (2018): 249–64. http://dx.doi.org/10.1515/crelle-2015-0032.

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AbstractBy evaluating the Burau representation att=-1, one obtains a symplectic representation of the braid group. We study the resulting congruence subgroups of the braid group, namely, the preimages of the principal congruence subgroups of the symplectic group. Our main result is that the level four congruence subgroup is equal to the group generated by squares of Dehn twists. We also show that the image of the Brunnian subgroup of the braid group under the symplectic representation is the level four congruence subgroup.
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Dissertations / Theses on the topic "Symplectic group of similitudes"

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Chan, Ping Shun. "Invariant representations of GSp(2)." The Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381.

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Saltman, David J., and saltman@mail ma utexas edu. "Invariant Fields of Symplectic and Orthogonal Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1000.ps.

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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "On index theorem for symplectic orbifolds." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2655/.

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at, Andreas Cap@esi ac. "Equivariant Symplectic Geometry of Cotangent Bundles." Moscow Math. J. 1, No.2 (2001) 287-299, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi996.ps.

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Leslie, Spencer. "Theta liftings on higher covers of symplectic groups." Thesis, Boston College, 2018. http://hdl.handle.net/2345/bc-ir:107937.

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Thesis advisor: Solomon Friedberg<br>We study a new lifting of automorphic representations using the theta representation ϴ on the 4-fold cover of the symplectic group, $\overline{\Sp}_{2r}(\A)$. This lifting produces the first examples of CAP representations on higher degree metaplectic covering groups. Central to our analysis is the identification of the maximal nilpotent orbit associated to ϴ. We conjecture a natural extension of Arthur's parameterization of the discrete spectrum to $\overline{\Sp}_{2r}(\A)$. Assuming this, we compute the effect of our lift on Arthur parameters and show tha
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Saltman, David J., Jean-Pierre Tignol, and saltman@mail ma utexas edu. "Generic Algebras with Involution of Degree 8m." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1001.ps.

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Frazier, William. "Application of Symplectic Integration on a Dynamical System." Digital Commons @ East Tennessee State University, 2017. https://dc.etsu.edu/etd/3213.

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Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating sol
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Wang, Chun Hui. "Représentations de Weil pour les groupes de similitudes et changement de base." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00759639.

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La présente thèse s'inscrit dans le cadre de travaux sur la représentation de Weil. Elle consiste en trois parties. Aux chapitres 2 et 3, on généralise la correspondance de Howe aux groupes de similitudes sur un corps local non archimédien de caractéristique résiduelle impaire. Aux chapitres 4 et 5, on répond dans beaucoup de cas à une question, soulevée par V. Drinfeld, sur la représentation de Weil de GSp8(F) de restreinte à un groupe GL2(A), où A est une algègre étale sur un corps local ou fini F. D'autre part, au chapitre 5, on montre que sur un corps fini, les représentations de Weil sont
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Sugimoto, Yoshihiro. "Spectral spread and non-autonomous Hamiltonian diffeomorphisms." Kyoto University, 2019. http://hdl.handle.net/2433/242579.

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Kennedy, Chris A. "Construction of Maps by Postnikov Towers." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461.

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Books on the topic "Symplectic group of similitudes"

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Parker, Christopher. Symplectic Amalgams. Springer London, 2002.

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1948-, Rowley Peter J., ed. Symplectic amalgams. Springer, 2002.

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Polterovich, Leonid. The Geometry of the Group of Symplectic Diffeomorphism. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8299-6.

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Eugene, Lerman, and Sternberg Shlomo, eds. Symplectic fibrations and multiplicity diagrams. Cambridge University Press, 1996.

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1964-, Karshon Yael, and Ginzburg Viktor L. 1962-, eds. Moment maps, cobordisms, and Hamiltonian group actions. American Mathematical Society, 2002.

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author, Rosen Daniel 1980, ed. Function theory on symplectic manifolds. American Mathematical Society, 2014.

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1978-, Usher Michael, ed. Low-dimensional and symplectic topology. American Mathematical Society, 2011.

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Mashhoor Ibrahim Mohammed Al Ali. On the characters of the maximal subgroups of the projective symplectic group PSp [inferior] 4 (q).(q, odd). University of Birmingham, 1987.

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1980-, Blazquez-Sanz David, Morales Ruiz, Juan J. (Juan José), 1953-, and Lombardero Jesus Rodriguez 1961-, eds. Symmetries and related topics in differential and difference equations: Jairo Charris Seminar 2009, Escuela de Matematicas, Universidad Sergio Arboleda, Bogotá, Colombia. American Mathematical Society, 2011.

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Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. American Mathematical Society, 2012.

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Book chapters on the topic "Symplectic group of similitudes"

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de Gosson, Maurice A. "The Symplectic Group." In Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-7643-9992-4_2.

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Taylor, Michael. "The symplectic group and the metaplectic group." In Mathematical Surveys and Monographs. American Mathematical Society, 1986. http://dx.doi.org/10.1090/surv/022/12.

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Knauf, Andreas. "Hamiltonian Equations and Symplectic Group." In UNITEXT. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-55774-7_6.

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Audin, Michèle. "Symplectic and Hamiltonian Group Actions." In Torus Actions on Symplectic Manifolds. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7960-6_4.

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Fedorova, A. N., and M. G. Zeitlin. "Wavelet Approach to Mechanical Problems. Symplectic Group, Symplectic Topology and Symplectic Scales." In IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5320-1_4.

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Jeffrey, Lisa. "Hamiltonian group actions and symplectic reduction." In IAS/Park City Mathematics Series. American Mathematical Society, 2006. http://dx.doi.org/10.1090/pcms/007/08.

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Groza, V. A. "On Representations of the Symplectic Group." In Symmetries in Science III. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0787-7_34.

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Woit, Peter. "Quadratic Polynomials and the Symplectic Group." In Quantum Theory, Groups and Representations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64612-1_16.

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Wurzbacher, T. "Symplectic Techniques in Holomorphic Group Actions." In Complex Analysis. Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-86856-5_49.

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Audin, Michèle. "Smooth Lie Group Actions on Manifolds." In Torus Actions on Symplectic Manifolds. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7960-6_2.

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Conference papers on the topic "Symplectic group of similitudes"

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Gothen, Peter B., Carlos Herdeiro, and Roger Picken. "Higgs bundles and the real symplectic group." In XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2011. http://dx.doi.org/10.1063/1.3599126.

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Fu, Huixin, and Fanzhang Li. "Research of the Symplectic Group Classifier Based on Lie Group Machine Learning." In Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007). IEEE, 2007. http://dx.doi.org/10.1109/fskd.2007.469.

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Kasim, Suzila Mohd, and Athirah Nawawi. "On the energy of commuting graph in symplectic group." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041666.

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Ding, Jingyi, and Fanzhang Li. "SGBMN: Symplectic Group Bayesian Manifold Network for Few-shot Classification." In 2021 International Joint Conference on Neural Networks (IJCNN). IEEE, 2021. http://dx.doi.org/10.1109/ijcnn52387.2021.9534152.

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Sharma, Harsh, Taeyoung Lee, Mayuresh Patil, and Craig Woolsey. "Symplectic Accelerated Optimization on SO(3) with Lie Group Variational Integrators." In 2020 American Control Conference (ACC). IEEE, 2020. http://dx.doi.org/10.23919/acc45564.2020.9147775.

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Martina, L. "Symmetry group and symplectic structure for exotic particles in the plane." In Proceedings of the International Conference on SPT 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812776174_0043.

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ARVANITOYEORGOS, Andreas, Yusuke SAKANE, and Marina STATHA. "EINSTEIN METRICS ON THE SYMPLECTIC GROUP WHICH ARE NOT NATURALLY REDUCTIVE." In 4th International Colloquium on Differential Geometry and its Related Fields. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719780_0001.

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Hoffmann, Werner. "Fourier transforms of weighted orbital integrals on the real symplectic group of rank two." In Proceedings of the International Symposium in Honor of Takayuki Oda on the Occasion of His 60th Birthday. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814355605_0007.

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Hess, Peter O. "An introduction to the symplectic model of nuclei and nuclear molecules in one dimension." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50224.

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Fiori, Simone. "A pseudo-Riemannian-gradient approach to the least-squares problem on the real symplectic group." In 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2010. http://dx.doi.org/10.1109/icassp.2010.5495296.

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