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Title:WITTOVA ALGEBRA POSEBNIH ODVAJANJ
Authors:ID Taciga, Slavica (Author)
ID Pagon, Dušan (Mentor) More about this mentor... New window
Files:.pdf UNI_Taciga_Slavica_2009.pdf (690,13 KB)
MD5: 89E4B6CE67776197BBF3BB3592ADCC65
PID: 20.500.12556/dkum/9965f306-4ff7-43ea-b521-a27b2e577878
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract: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.
Keywords:asociativna algebra, Liejeva algebra, linearna Liejeva algebra, avtomorfizem, upodobitev, omejena Liejeva algebra, posplošena Jacobson-Wittova algebra
Place of publishing:Maribor
Publisher:[S. Taciga]
Year of publishing:2009
PID:20.500.12556/DKUM-12406 New window
UDC:51(043.2)
COBISS.SI-ID:17252104 New window
NUK URN:URN:SI:UM:DK:GESBBBX8
Publication date in DKUM:25.11.2009
Views:3065
Downloads:124
Metadata:XML DC-XML DC-RDF
Categories:FF
FNM
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Secondary language

Language:English
Title:WITT ALGEBRA OF SPECIAL DERIVATIONS
Abstract: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.
Keywords:associative algebra, Lie algebra, linear Lie algebra, automorphism, representation, restricted Lie algebra, the generalized Jacobson-Witt algebra


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