Academic literature on the topic 'Lie pseudo-group'

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Journal articles on the topic "Lie pseudo-group"

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Fischer, Véronique. "Intrinsic pseudo-differential calculi on any compact Lie group." Journal of Functional Analysis 268, no. 11 (2015): 3404–77. http://dx.doi.org/10.1016/j.jfa.2015.03.015.

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Olver, Peter J., and Juha Pohjanpelto. "Moving Frames for Lie Pseudo–Groups." Canadian Journal of Mathematics 60, no. 6 (2008): 1336–86. http://dx.doi.org/10.4153/cjm-2008-057-0.

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AbstractWe propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. Themoving frame provides an effectivemeans for determining complete systems of differential invariants and invariant differential forms, classifying their syzygies and recurrence relations, and solving equivalence and symmetry problems arising in a broad range of applications.
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Biggs, Rory, and Claudiu C. Remsing. "Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0." Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, no. 2 (2016): 45–65. http://dx.doi.org/10.1515/auom-2016-0027.

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AbstractWe consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra automorphisms act transitively. We then systematically identify equivalence class representatives (for single-input, two-input and three-input control systems). A brief comparison of these classification results with existing results concludes the paper.
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Fels, Gregor. "Pseudo-K�hlerian structure on domains over a complex semisimple Lie group." Mathematische Annalen 323, no. 1 (2002): 1–29. http://dx.doi.org/10.1007/s002089900058.

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MAGNOT, JEAN-PIERRE. "AMBROSE–SINGER THEOREM ON DIFFEOLOGICAL BUNDLES AND COMPLETE INTEGRABILITY OF THE KP EQUATION." International Journal of Geometric Methods in Modern Physics 10, no. 09 (2013): 1350043. http://dx.doi.org/10.1142/s0219887813500436.

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In this paper, we start from an extension of the notion of holonomy on diffeological bundles, reformulate the notion of regular Lie group or Frölicher Lie groups, state an Ambrose–Singer theorem that enlarges the one stated in [J.-P. Magnot, Structure groups and holonomy in infinite dimensions, Bull. Sci. Math.128 (2004) 513–529], and conclude with a differential geometric treatment of KP hierarchy. The examples of Lie groups that are studied are principally those obtained by enlarging some graded Frölicher (Lie) algebras such as formal q-series of the quantum algebra of pseudo-differential op
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IVAN, MIHAI, GHEORGHE IVAN, and DUMITRU OPRIŞ. "FRACTIONAL EQUATIONS OF THE RIGID BODY ON THE PSEUDO-ORTHOGONAL GROUP SO(2,1)." International Journal of Geometric Methods in Modern Physics 06, no. 07 (2009): 1181–92. http://dx.doi.org/10.1142/s0219887809004168.

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Lim, Meng Fai. "On the pseudo-nullity of the dual fine Selmer groups." International Journal of Number Theory 11, no. 07 (2015): 2055–63. http://dx.doi.org/10.1142/s1793042115500888.

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In this paper, we will study the pseudo-nullity of the dual fine Selmer group and its related question. We investigate certain situations, where one can deduce the pseudo-nullity of the dual fine Selmer group of a general Galois module over an admissible p-adic Lie extension F∞ from the knowledge of the pseudo-nullity of the Galois group of the maximal abelian unramified pro-p extension of F∞ at which every prime of F∞ above p splits completely. In particular, this gives us a way to construct examples of the pseudo-nullity of the dual fine Selmer group of a Galois module that is unramified out
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Liu, Yonghong. "Lie Algebras with BCL Algebras." European Journal of Pure and Applied Mathematics 11, no. 2 (2018): 444–48. http://dx.doi.org/10.29020/nybg.ejpam.v11i2.3219.

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The subject matter of this work is hoping for a new relationship between the Lie algebras and the algebra of logic, which will constitute an important part of our study of "pure'' algebra theory. $BCL$ algebras as a class of logical algebras is can be generated by a Lie algebra. The opposite is also true that when special conditions occur. The aim of this paper is to prove several theorems on Lie algebras with $BCL$ algebras. I introduce the notion of a "pseudo-association'' which I propose as the adjoint notion of $BCL$ algebra in the abelian group.
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Karabegov, A. V. "Strict deformation quantization on a pseudo-Kähler orbit of a compact Lie group." Functional Analysis and Its Applications 32, no. 1 (1998): 51–53. http://dx.doi.org/10.1007/bf02465758.

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Gribachev, Kostadin, and Mancho Manev. "Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure." Journal of Geometry 88, no. 1-2 (2008): 41–52. http://dx.doi.org/10.1007/s00022-007-1947-2.

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Dissertations / Theses on the topic "Lie pseudo-group"

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De, Gregorio Alessandro. "On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group S1." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13533/.

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In this dissertation we study the natural pseudo-distance associated with the Lie group S1, a dissimilarity measure on a space of real-valued maps called filtering functions. We focus our attention on the set of the optimal homeomorphisms for the natural pseudo-distance, i.e. the homeomorphisms that represent the best correspondence between two filtering functions. We examine some differential properties that an homeomorphism has to meet in order to be optimal, and we prove the finiteness of the set of the optimal homeomorphisms if the filtering functions are Morse.
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Ben, Ahmed Ali. "Géométrie et dynamique des structures Hermite-Lorentz." Thesis, Lyon, École normale supérieure, 2013. http://www.theses.fr/2013ENSL0824.

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Dans la veine du programme d'Erlangen de Klein, travaux d'E. Cartan, M. Gromov, et d'autres, ce travail se trouve à cheval, entre la géométrie et les actions de groupes. Le thème global serait de comprendre les groupes d'isométries des variétés pseudo-riemanniennes. Plus précisément, suivant une "conjecture vague" de Gromov, classifier les variétés pseudo-riemanniennes dont le groupe d'isométries agit non-proprement, i.e. que son action ne préserve pas de métrique riemannienne auxiliaire?Plusieurs travaux ont été accomplis dans le cas des métriques lorentziennes (i.e. de signature (- +...+)).
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Aubert, Anne. "Structures affinées et pseudo-métriques invariantes à gauche sur des groupes de Lie." Montpellier 2, 1996. http://www.theses.fr/1996MON20225.

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Le but de ce travail est double. D'une part etudier les groupes de lie affine (i. E. Munis d'une structure affine invariante a gauche) dont la structure affine est liee a une pseudo-metrique invariante a gauche. Nous prouvons en particulier les resultats suivants: la structure affine d'un groupe de lie pseudo-riemannien plat est geodesiquement complete si et seulement si le groupe est unimodulaire. La variete cotangente d'un groupe de lie connexe et simplement connexe est munie d'une structure de groupe de lie pseudo-riemannien plat. D'autre part, introduire une technique dite de double extens
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Chang, Chin-Wen, and 張致文. "Applying the Lie group and pseudo-Riemann frame on the computations of plastic constitutive equations." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/56214389571033038383.

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碩士<br>國立臺灣海洋大學<br>機械與輪機工程學系<br>92<br>This thesis delivers several new types of representations of the convex plasticity equation and realizes them by numerical discretizations. In terms of the Gaussian unit vector and the Weingarten map techniques in differential geometry, we prove that the plastic equation exhibits a Lie group symmetry. We convert the nonlinear constitutive equations to a quasilinear equations system , , in local. In this way the inherent symmetry of the constitutive model of convex plasticity is brought out. The underlying structure is found to be a cone in the Minkowski
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Rebelo, Raphaël. "Invariant discretizations of partial differential equations." Thèse, 2015. http://hdl.handle.net/1866/13724.

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Un algorithme permettant de discrétiser les équations aux dérivées partielles (EDP) tout en préservant leurs symétries de Lie est élaboré. Ceci est rendu possible grâce à l'utilisation de dérivées partielles discrètes se transformant comme les dérivées partielles continues sous l'action de groupes de Lie locaux. Dans les applications, beaucoup d'EDP sont invariantes sous l'action de transformations ponctuelles de Lie de dimension infinie qui font partie de ce que l'on désigne comme des pseudo-groupes de Lie. Afin d'étendre la méthode de discrétisation préservant les symétries à ces équations,
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Books on the topic "Lie pseudo-group"

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Farb, Benson, and Dan Margalit. A Primer on Mapping Class Groups (PMS-49). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.001.0001.

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The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. It begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn–Nielsen–Baer–theorem. Along the way, central
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Book chapters on the topic "Lie pseudo-group"

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Faragher, Megan. "A Science So-Called." In Public Opinion Polling in Mid-Century British Literature. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192898975.003.0002.

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H.G. Wells’s life extends the radical evolution of psychographics outlined in the Introduction, but his oeuvre also proves the inherent difficulty in aestheticizing the emergent age of social psychology—a point evinced when producer Alexander Korda demanded Wells revise the script version of his 1933 novel The Shape of Things to Come three times to make it “filmable.” While Wells’s novel imagines a peaceable future wherein social psychology becomes the “whole literature, philosophy, and general thought of the world,” the film adaptation instead symbolizes this philosophical transformation by starring a sole philosopher-king who, against the people’s will, seeks to control and colonize the universe. This chapter argues that the conflict between these two Wellsian visions is prefigured by his intimate and conflicted relationship to sociology and group psychology. As early as 1906, Wells sought out the position as the first British chair of sociology at the University of London. But Wells was immediately to become a gadfly in academia: he engaged in scathing critiques of sociology for denying its utopian impulses and refuted theories of group dynamics put forward by Gustave Le Bon and Wilfred Trotter. Incorporating readings across Wells’s literary career—including Anticipations, An Englishman Looks at the World, and In the Days of the Comet—this chapter contends that Wells’s writing captures a life-long effort to reprise the scope of sociology from outside academia, and captures the writer’s foundering efforts to aestheticize the institutional promise of social psychology—efforts that inevitably succumb to Wells’s fetishization of pseudo-authoritarian technocracy.
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Goforth, Harold W., and Mary Ann Cohen. "Symptoms Associated with HIV and AIDS." In Handbook of AIDS Psychiatry. Oxford University Press, 2010. http://dx.doi.org/10.1093/oso/9780195372571.003.0013.

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Many persons with HIV and AIDS have symptoms that are unrelated to underlying psychiatric disorders but may masquerade as such. These symptoms may include insomnia, fatigue, nausea, or other troubling symptoms, and often result in suffering for patients, their families, and loved ones. The symptoms are common throughout the course of HIV and AIDS, from onset of infection to late-stage and end-stage AIDS. They need to be addressed whenever they occur and not only as part of end-of-life care. We present protocols to ameliorate or eliminate these symptoms and alleviate suffering. Fatigue is one of the most prevalent but underreported and undertreated aspects of HIV disease. The prevalence of fatigue in an HIV population has been estimated to affect at least 50% of seropositive individuals (Breitbart et al., 1998) and may affect up to 80% of the population. Darko and colleagues (1992) found that HIV-seropositive individuals were more fatigued, required more sleep and daytime naps, and showed less alert morning functioning than did persons who are HIV-seronegative. While the symptom of fatigue may fluctuate with increasing viral loads, there is no evidence base for a consistent correlation between fatigue and viral load. Fatigue is a pseudo-specific symptom common to a variety of disabilities found in an HIV population, and it has been linked to a variety of other AIDS-related disabilities including pain, anemia, impaired physical function, psychological distress, and depression. Hormonal alterations, such as those in testosterone and thyroxin, that occur in the context of HIV infection are also common in this group. While these findings are further discussed in Chapter 10, it is worth noting here that they can contribute substantially to tiredness and fatigue in this population. Other sources of fatigue include multimorbid chronic illnesses (opportunistic infections and cancers, chronic renal insufficiency, hepatitis C and other hepatic illnesses, and chronic obstructive pulmonary disease [COPD]) and some of their treatments (notably interferon/ribavirin for hepatitis C and cancer chemotherapy). Substances such as recreational drugs, nicotine, and caffeine are also factors in HIV-related fatigue.
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Palahnyuk, Olha. "Conceptualization of Christian Religious Attitudes in Socio-Psychological and World-View Contexts." In Trends and Prospects of the Education System and Educators’ Professional Training Development. LUMEN Publishing House, 2021. http://dx.doi.org/10.18662/978-1-910129-28-9.ch012.

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In the conditions of systemic social, and at the same time personal crisis, accompanied by values relativization, the issue of searching the ways out of this state is actualized in the scientific discourse. Overcoming the crisis depends largely on a person who is able consciously to take responsibility for the actions in the living space, which is created primarily by the personal interactions. Therefore, the social responsibility problem, its formation factors, impact on personal and psychosocial maturity has become significantly relevant in the context of social psychology and at the interdisciplinary level. At the same time, the current socio-political situation in the country, accompanied by military conflict, complex processes of civil society development require an active social, civic, politically responsible position of citizens, especially young people that is socio-demographic group, which acts as a «barometer» of socio-economic and the political state of society and, despite the particular opportunities expansion for self-determination and individual development, it is experiencing spiritual devastation, selfishness, infantilism. The latter leads to the deformation of the youth normative and valuable sphere and require the specialists’ close attention. Thus, the aim of our study is a comprehensive theoretical and methodological analysis and conceptualization of Christian religious beliefs in socio-psychological and philosophical contexts as a factor in developing the social responsibility of the individual. The problem of social responsibility is closely related to the development in moral and ideological spheres of personality, an important component of which is the attitude as willingness to social activity and responsibility as a result of these actions. The social attitudes analysis identifies those related to religious spirituality and Christian morality i.e. Christian religious attitudes that express personal position, conscious state of being, active human attitude to the world in general and in particular to their self-realization. Based on a comprehensive analysis, it is determined that Christian religious attitudes in socio-psychological and worldview contexts are ideological attitudes that are the need and willingness to treat and act to people, events, phenomena, life, God considering the Christian morality based on faith and love to God and neighbour. In addition, they can / should be perceived as internal restraints: not freedom, but pseudo-freedom (permissiveness) and act as a natural law of conscience, the desire for the highest, the moral intuition of man.
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Conference papers on the topic "Lie pseudo-group"

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Müller, Andreas, and Zdravko Terze. "A Constraint Stabilization Method for Time Integration of Constrained Multibody Systems in Lie Group Setting." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34899.

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The stabilization of geometric constraints is vital for an accurate numerical solution of the differential-algebraic equations (DAE) governing the dynamics of constrained multibody systems (MBS). Although this has been a central topic in numerical MBS dynamics using classical vector space formulations, it has not yet been sufficiently addressed when using Lie group formulations. A straightforward approach is to impose constraints directly on the Lie group elements that represent the MBS motion, which requires additional constraints accounting for the invariants of the Lie group. On the other h
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Rezaei, Amir G., Shannon Lee, and Thomas J. Impelluso. "Application of Moving Frame Method to Solve 3D Dynamics Problems." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-68000.

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This paper presents application of a new method to solve 3D Dynamics problems. Briefly: 1. The method uses the special orthogonal group, SO(3), and the special Euclidean group, SE(3), of the Lie Algebra. 2. The method uses Cartan’s Moving Frames 3. The method uses a new notation developed in the discipline of Geometrical Physics. The method makes 3D Dynamics easier than 2D. It offers a more efficient way to model dynamics of rigid bodies and a new approach to linked mechanisms. The new method is founded on rigorous math and avoids the historical ambiguities that accompany traditional methods (
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Eckstein, Eugene C., Vinay Bhal, JoDe M. Lavine, Baoshun Ma, Mark Leggas, and Jerome A. Goldstein. "Nested First-Passages of Tracer Particles in Flows of Blood and Control Suspensions: Symmetry and Lorentzian Transformations." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69549.

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Theory of molecular Taylor-Aris dispersion (TAD) is an accepted framework describing tracer dispersion in suspension flows and determining effective diffusion coefficients. Our group reported a pseudo-Lagrangian method to study dispersion in suspension flows at FEDSM-2000. Tracer motions were studied in a steadily moving inertial reference frame (SMIRF) aligned with the flow direction; increments of change of axial position of individual tracers were collected to demonstrate how the tracer moved as they, individually, interacted with similar collections of other bodies brought to and from the
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Barhorst, A. A., O. P. Harrison, and G. D. Bachand. "Modeling Elasto-Mechanical Phenomena Involved in the Motor-Driven Assembly of Nanomaterials." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34175.

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As the ability to manipulate materials and components at the nanoscale continues to grow, it will become increasingly critical to understand the dynamic interactions that occur among multiple components. For example, the dynamic interactions among proteins (i.e., nanoscale molecular machines) lead to complex, emergent behaviors such as photosynthesis, self-repair, and cell division. Recently, the research group at Sandia National Labs and The Center for Integrated Nanotechnologies (CINT), headed by George Bachand, has developed a molecular transport system capable of transporting and manipulat
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Anderson, Walter, The Nguyen, and Mohammad Elahinia. "Vibration Mitigation With a Multi-Axial Magnetorheological Mount." In ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2009. http://dx.doi.org/10.1115/smasis2009-1353.

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This paper presents a multi-axial magnetorheological (MMR) mount. An MMR mount has been developed for use with hydraulic hybrid vehicles (HHV). Like hybrid electric vehicles (HEV), HHV provides better fuel economy. An inherent problem to hydraulic hybrid vehicles is vibration of the hydraulic pump-motor (P/M). This vibration can be classified as shock loading for initial start-up, and periodic vibration over a large frequency range. The latter vibration opportunity can be classified as having large displacement at low frequency and small displacement at high frequency. This requires a stiff mo
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