WITT ALGEBRA OF SPECIAL DERIVATIONS

V diplomskem delu definiramo Liejevo in asociativno algebro ter opišemo povezavo med njima. Vpeljemo linearne Liejeve algebre in strukturne konstante. Nato definiramo odvajanja, (pol)direktne vsote, avtomorfizme Liejevih algeber in upodobitve Liejevih algeber. V nadaljevanju spoznamo omejene Liejeve algebre in definiramo posplošeno Jacobson-Wittovo algebro, ki se imenuje tudi algebra posebnih odvajanj.In the diploma work we define a Lie algebra and we describe the relation between them. We construct linear Lie algebras and strukture constants. After that we define derivations, (semi)direct sums, automorphisms of Lie algebras and representations of Lie algebras. In the sequel we become familiar with restricted Lie algebras and we define the generalized Jacobson-Witt algebra, which is called also the algebra of special derivations