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- W24105280 abstract "The Lie group structure of the Lorentz group is explored. Its generators and its Lie algebra are exhibited, via the study of infinitesimal Lorentz transformations. The exponential map is introduced and it is shown that the study of the Lorentz group can be reduced to that of its Lie algebra. Finally, the link between the restricted Lorentz group and the special linear group (mathrm{SL}(2, mathbb{C})) is established via the spinor map. The Lie algebras of these two groups are shown to be identical (up to some isomorphism)." @default.
- W24105280 created "2016-06-24" @default.
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- W24105280 date "2013-01-01" @default.
- W24105280 modified "2023-09-30" @default.
- W24105280 title "Lorentz Group as a Lie Group" @default.
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- W24105280 doi "https://doi.org/10.1007/978-3-642-37276-6_7" @default.
- W24105280 hasPublicationYear "2013" @default.
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