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- W4310349577 abstract "In the previous chapter we dealt with real Lie algebras built on real linear vector spaces, as these are what arise when analysing Lie groups whose elements are labelled by certain numbers of real essential independent coordinates. The further study of ‘all possible Lie algebras and Lie groups’, their survey and classification, is quite intricate. We will only try to convey the flavour of the concepts and methods involved. Two crucial steps are: complexification of real Lie algebras, and the direct definition of complex Lie algebras; and the exploration of the properties of solvability, semisimplicity and simplicity. Our final goal is to arrive at the compact simple Lie algebras – CSLA – and their associated Lie groups. We will only aim to give a ‘physical account’ of arguments and strategies in this field. It will be largely descriptive with limited derivations." @default.
- W4310349577 created "2022-12-09" @default.
- W4310349577 date "2022-12-31" @default.
- W4310349577 modified "2023-09-23" @default.
- W4310349577 title "Compact Simple Lie Algebras – Classification and Irreducible Representations" @default.
- W4310349577 doi "https://doi.org/10.1017/9781009187053.006" @default.
- W4310349577 hasPublicationYear "2022" @default.
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