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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • 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