Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Lie theory"”.
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Nonstandard Methods in Lie Theory
"In this thesis, we apply model theory to Lie theory and geometric group theory. These applications of model theory come via nonstandard analysis. In Lie theory, we use nonstandard methods to prove two results. First, we give a positive solution to the local form of Hilbert's Fifth Problem, which …
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Lie Theory in Generalized Kähler Geometry
… Mackenzie in the fields of Poisson geometry and Lie theory.We introduce and develop the concept of holomorphic Morita equivalences of symplectic double groupoids, 2-morphisms between Morita equivalences, and multiplicative LS bisections in order to access the underlying holomorphic data, and …
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The functorial semantics of Lie theory
… for two diverging lines of research, many-object Lie theory (the study of Lie algebroids and Lie groupoids) and sketch theory. This thesis uses tangent categories to build a bridge between these two lines of research, providing a structural account of Lie algebroids and the Lie functor. To …
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MIXED GRADED MODULES IN HOMOTOPY LIE THEORY
… tra complessi misti graduati e algebre di Lie derivate. I due contributi principali di questa tesi sono la costruzione di una t-struttura completa e non-degenere sulla ∞-categoria stabile dei complessi misti graduati, che esibisce i moduli misti graduati come il completamento sinistro della …
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On Lie Theory in the Verlinde Category
… The first part of the thesis reviews this theory. In the remainder of the thesis, we approach the study of Verₚ by considering two perspectives: the first perspective is that because these categories do not fiber over the category of supervector spaces, these categories provide examples of …
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Linear Algebra, Random Matrices and Lie Theory
This thesis bridges the gap between pure and applied mathematics. The first part of this thesis focuses on the theory and computation of various Lie groups. The classical Lie groups as well as the automorphism groups of the bilinear and sesquilinear forms are discussed with numerical examples. In …
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Interactions between combinatorics, lie theory and algebraic geometry via the Bruhat orders
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1981.
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A Mathematical Discussion of Corotational Finite Element Modeling
… invariance to rigid body deformation. Turning to Lie theory, Chapter 4 summarizes and applies relevant Lie theory to explore rigid and elastic deformation, finite element methods in general, and the EICR Method in particular. Rigid body deformation from a Lie perspective is well represented in the …
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On properties of linear control systems on Lie groups
… properties of linear control systems on Lie groups as introduced by Ayala and Tirao in [AT99]. A linear control system _x0006_Σ Lie group G is defined by x' = X(x) + Σ<sup>k</sup><sub>j=1</sub> u<sub>j</sub>Y<sub>j</sub>(x), where the drift vector field X is an infinitesimal automorphism, …
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Geometric Control of Ensemble Systems
… as it is beyond the scope of classical control theory. In this thesis, we study fundamental control problems associated with ensemble systems, including controllability analysis and control input design. In particular, we introduce the notion of ensemble controllability for parameterized …
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Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… the generic bres for each classical simple Lie group and GLn. Akin to Hitchin's result, the bres are torsors of abelian varieties, and we demonstrate Langlands duality in the Hitchin bration by proving the generic bres corresponding to Langland's dual groups are indeed dual abelian …
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Kategorielle Langlands-Korrespondenz für die verallgemeinerten Lorentz-Gruppen
Im Rahmen der lokalen Langlands-Philosophie für die reellen Zahlen konstruieren Adams, Barbasch und Vogan eine Bijektion zwischen den einfachen Harish-Chandra-Moduln zu einer reellen reduktiven Gruppe G und dem Raum <br>der "vollständigen geometrischen Parameter" - einer Menge von äquivarianten …