Hota, K R (2014) *Real forms of simple lie algebras.* MSc thesis.

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## Abstract

This thesis is about the real forms of simple Lie algebras. Firstly we start with some basic theory of Lie algebra and different types of Lie algebras with some examples in Chapter 2. Thereafter in Chapters 3 to 4 we give the complete classification of real forms of simple Lie algebras. Also we have discuss the Chevalley basis which is important for the Simple Lie algebras. This project introduces Lie groups and their associated Lie algebras. In this thesis we introduce various properties of real forms, conjugations, and automorphisms of complex simple Lie algebras. Finally, there is a complete classification of real forms of simple Lie algebras.

Item Type: | Thesis ( MSc) |
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Uncontrolled Keywords: | Lie algebras; Lie groups; Different types of simple Lie algebra; real form and conjugations. |

Subjects: | Mathematics and Statistics > Applied Mathematics |

Divisions: | Sciences > Department of Mathematics |

ID Code: | 6067 |

Deposited By: | Hemanta Biswal |

Deposited On: | 26 Aug 2014 10:23 |

Last Modified: | 26 Aug 2014 10:23 |

Supervisor(s): | Pati, K C |

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