Results 101 to 110 of about 1,532 (216)

Invariants of automorphic lie algebras

open access: yes
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

Semisimple Lie Group theory with application in geometric invariant theory

open access: yes, 2015
Master's thesis in Mathematics and physicsThe goal of this thesis was to learn about the theory of Lie algebras, Lie groups and some real geometric invariant theory, with emphasis on semisimple Lie group theory.
Helleland, Christer
core  

Fourier inversion of invariant integrals on semisimple real Lie groups

open access: yes, 1979
Let G be a connected, semisimple real Lie group with finite center. Associated with every regular semisimple element g of G is a tempered invariant distribution Λ g { \Lambda _g} given by an orbital ...
Rebecca A. Herb
core   +1 more source

Asymptotic Results in Noncompact Semisimple Lie Groups [PDF]

open access: yes, 2013
This dissertation is a collection of results on analysis on real noncompact semisimple Lie groups. Specifically, we examine the convergence patterns of sequences arising from the special group decompositions that exist in this ...
Thompson, Mary Clair
core  

The Signature in Actions of Semisimple Lie Groups on Pseudo-Riemannian Manifolds

open access: yes, 2012
We study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a descrip­tion of the bi-invariant pseudo-Riemannian metrics on
Rosales-Ortega, José
core   +1 more source

On the Representation Theory of Semisimple Lie Groups [PDF]

open access: yes, 2010
This thesis is an expository account of three central theorems in the representation theory of semisimple Lie groups, namely the theorems of Borel-Weil-Bott, Casselman-Osborne and Kostant.
Al-Faisal, Faisal
core  

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