20.500.12556/DKUM-12406 WITTOVA ALGEBRA POSEBNIH ODVAJANJ 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. asociativna algebra Liejeva algebra linearna Liejeva algebra avtomorfizem upodobitev omejena Liejeva algebra posplošena Jacobson-Wittova algebra associative algebra Lie algebra linear Lie algebra automorphism representation restricted Lie algebra the generalized Jacobson-Witt algebra true true false [S. Taciga] Slovenski jezik Angleški jezik Diplomsko delo 2009-11-11 02:04:39 2009-11-25 11:43:25 2022-04-12 07:28:21 2022-04-19 03:25:24 2009 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17252104 URN:SI:UM:DK:GESBBBX8 UNI_Taciga_Slavica_2009.pdf UNI_Taciga_Slavica_2009.pdf 1 89E4B6CE67776197BBF3BB3592ADCC65 327c17cabc6e7c66911bccd384f1dff1163edb49318f395269be78b4c6eaba76 66f50a8f-7c03-11eb-bb7a-00155d0001ca 20.500.12556/dkum/9965f306-4ff7-43ea-b521-a27b2e577878 https://dk.um.si/Dokument.php?lang=slv&id=11852 Fakulteta za naravoslovje in matematiko 0 0 0