Lie algebras: their structure and applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00196526" target="_blank" >RIV/68407700:21340/12:00196526 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Lie algebras: their structure and applications
Original language description
We present in this thesis a selection of our nine recent research papers. Although their topics are somewhat varied, they share one common feature: they involve Lie algebras and Lie groups either as a main subject of investigation or as an essential tool. The papers contained in the thesis are divided into three thematic chapters preceded by an introductory review of our notation and essential background. In the first group consisting of four papers in Chapter 2 we study the structure of certain classesof solvable Lie algebras, establish their basic properties and construct their generalized Casimir invariants. We also investigate the structure of Lie algebras with nontrivial Levi decomposition, i.e. of algebras which are neither semisimple nor solvable. The notation and methods used in these papers are introduced in Sections 1.1, 1.2. In the second group of two papers in Chapter 3 we compute the Lie superalgebra of point (super)symmetries of certain partial differential equations def
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů