Browsing by Author "dos Santos, Moses Caires"

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    On one class of extensions of Lie algebras and the Casimir functions related to it
    (2009) dos Santos, Moses Caires; lanovsky, Alexandar
    In chapter 1, we introduce the extensions and cohomologies of Lie algebras, followed by the lemmas of Vhitehcad and finally the Levi-decomposition theorem. In chapter 2, we introduce the "universal" extensions of the Lie algebras as originally given in [l] and classify them up to some point (where n::::; 4 as given in (l]). In Chapter 3, an alternative approach to these "universal" extensions is given, that seen in [2] and the t·wo approaches are compared and finally; In Chapter 4, the related Casimir Invariants are introduced. We attempt to further understand their algebraic properties developing the ideas of [l] and [2]. In the appendices we give some additional information that is needed to understand the text.