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Showing 1 to 20 of 73 for “"Lie groups"”.
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Discrete approximate subgroups of Lie groups
… generalisations of Meyer's theorem in soluble Lie groups, in amenable locally compact groups and in higher-rank semi-simple algebraic groups. Along the way, we investigate properties of closed and discrete approximate subgroups of locally compact groups in general.
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Applications of Lie Groups in Turbulence Modeling
Group analysis is applied to the general two-dimensional k-epsilon turbulence model. Symmetry algebras for the k-epsilon turbulence model have been calculated by Khor'kova. and Verbovetsky. This systematic approach is applied to the specific flow problem of turbulent submerged free plane jets. …
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Positive definite distributions on semi-simple Lie groups,
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1973.
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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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Application of Lie Groups to Discretizing Nuclear Engineering Problems
In addition, a method using groups of point transformations along with Noether's theorem is shown to generate a conservation law that can be used to create a two-term recurrence relation which calculates numerically exact Green's functions in one dimension for the time-independent neutron diffusion …
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Spherical D̳-modules and representations of reductive lie groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1986.
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Geometric realisation of representations of complex semi-simple Lie groups
… the representation theory of complex semi-simple Lie groups.
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Representations of semisimple Lie groups and an enveloping algebra decomposition.
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1970.
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Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Transfer for compact lie groups, induced representations, and braid relations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1988.
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Lie algebra cohomology and the representations of semisimple Lie groups
Thesis. 1976. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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Application of Lie Groups and Approximate Coordinate Functions in Nuclear Engineering
Made available in DSpace on 2017-07-06T18:56:00Z (GMT). No. of bitstreams: 3 Ramsey_Scott_D_MS.pdf: 73305760 bytes, checksum: eb41d45b0d8620e9c75cf17acd0c936e (MD5) Ramsey_Scott_D_MS_ABS.pdf: 1036683 bytes, checksum: cfb9ec1ba27af3afe2a15ad7a5f824bf (MD5) license.txt: 4813 bytes, checksum: …
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Optimal control problems on lie groups with symmetry breaking cost functions
… smooth optimal control systems that evolve on Lie groups. Pontryagin's maximum principle allows us to search for local solutions of the optimal control problem by studying an associated Hamiltonian dynamical system. When the associated Hamiltonian function possess symmetries, we can often study …
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Fourier Analysis on Semisimple Lie Groups Whose Split Rank Equals One
Made available in DSpace on 2014-12-11T18:23:35Z (GMT). No. of bitstreams: 1 7105267.pdf: 3452552 bytes, checksum: 3a5cc65701277d172992bb55db67a958 (MD5) Previous issue date: 1970
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On the Ring of Invariant Polynomials for Representations of Lie Groups
Made available in DSpace on 2014-12-09T22:17:57Z (GMT). No. of bitstreams: 1 7021071.pdf: 2562623 bytes, checksum: 095b94414a55b60df438b8bf1894fba0 (MD5) Previous issue date: 1970
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Generalized Bäcklund-Darboux transformations for Coxeter-Toda systems on simple Lie groups
… between two Coxeter-Toda systems on simple Lie groups from a cluster algebraic prospective, using the cluster structure on Coxeter double Bruhat cells developed by Fock-Goncharov, Gekhtman et al. and Williams, thereby generalizing the construction developed by Gekhtman et al. We will then …
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Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive …
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Causal structures in lie groups and applications to stability of differential equations
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1980.
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Regularity aspects of the theory of infinite dimensional representations of Lie groups.
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1970.
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