An infinite dimensional approach to the third fundamental theorem of Lie.

Bourgin, Richard D.; Robart, Thierry P.

Displaying similar documents to “An infinite dimensional approach to the third fundamental theorem of Lie.”

Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix.

Bouarroudj, Sofiane, Grozman, Pavel, Leites, Dimitry (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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An obstruction to represent abelian Lie algebras by unipotent matrices.

J. C. Benjumea, F. J. Echarte, Núñez, J.,Tenorio, A. F. (2004)

Extracta Mathematicae

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The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.

The variety of Lie bialgebras.

Ciccoli, Nicola, Guerra, Lucio (2003)

Journal of Lie Theory

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Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.

Campoamor-Stursberg, Rutwig (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations

Angel Ballesteros, Mariano del Olmo (1997)

Banach Center Publications

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Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an application, contractions of SL(2,R) Poisson-Lie groups leading to (1+1) Poincaré and Heisenberg structures are analysed. It is shown how the method here introduced allows a systematic construction of the Poisson structures associated to non-coboundary Lie bialgebras. Finally, it is sketched how contractions are also implemented after quantization by using the Lie bialgebra approach. ...