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Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systems

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Campoamor-Stursberg, Rutwig (2017) Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systems. Journal of Physics: Conference Series, 1071 . 012005. ISSN 1742-6588

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Official URL: https://doi.org/10.1088/1742-6596/1071/1/012005



Abstract

Realizations of Lie algebras by means vector fields associated to a linear representation and their corresponding invariant functions are inspected from the perspective of the embedding problem of Lie algebras and the branching rules for the subduction of representations. Some applications concerning the construction of dynamical systems with prescribed Lie algebras of point symmetries and the symmetry breaking with respect to embeddings of algebras into so(N) are discussed.


Item Type:Article
Additional Information:

Symmetries in Science XVII 30 July to 4 August 2017, Bregenz

Subjects:Sciences > Mathematics > Algebra
ID Code:76865
Deposited On:02 Mar 2023 11:07
Last Modified:02 Mar 2023 11:10

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