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Title: On Lie groups and algebras
Author: Morata Martınez, Imanol
Director/Tutor: García López, Ricardo, 1962-
Keywords: Grups de Lie
Àlgebres de Lie
Tesis de màster
Lie groups
Lie algebras
Masters theses
Issue Date: 30-Jun-2014
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.
Note: Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Ricardo García López
Appears in Collections:Màster Oficial - Matemàtica Avançada

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