L.M. Smits
Abstract
Lie groups appear naturally as symmetry groups in quantum mechanics. Representation theory of Lie groups can provide information of the physical system of interest. This thesis focusses on the unitary and projective representations of the Lie groups and discusses the historically relevant Wigner's classification of elementary particles.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Lie groups appear naturally as symmetry groups in quantum mechanics. Representation theory of Lie groups can provide information of the physical system of interest. This thesis focusses on the unitary and projective representations of the Lie groups and discusses the historically relevant Wigner's classification of elementary particles.
Key concepts: Unitary state, Lie group, Simple Lie group, Pure mathematics, Mathematics, Representation of a Lie group, Algebra over a field, Psychology