Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/63069
On Lie groups and algebras
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Abstract
The objectives of this work are fundamentally three: the first is to give the basic
definitions of Lie groups, Lie algebras, the exponential map and the morphisms relating them. The second is to give an elementary introduction to Lie group representation theory as well as some criteria on how to classify certain Lie groups. The third and final goal is to study a couple of specific Lie groups, namely SU(2) and SO(3), in order to apply all the concerning theory and have an insight into
the applications of Lie groups into Physics.
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Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Ricardo García López
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MORATA MARTÍNEZ, Imanol. On Lie groups and algebras. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/63069