For more information about this meeting, contact Mihran Papikian, Ae Ja Yee.

Title: | Six-dimensional Lie algebras with a five-dimensional nilradical. Solvable extensions of a special class of nilpotent Lie algebras. |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Anastasia.Shabanskaya, University of Toledo |

Abstract: |

I will talk about all the difficulties to classify solvable Lie algebras on the example of the paper "Six-dimensional Lie algebras with a five-dimensional nilradical " which attempts to correct and simplify an old paper by G. M. Mubarakzyanov which classifies the six-dimensional solvable indecomposable Lie algebras for which the nilradical is five-dimensional. Also I will introduce another approach to classify solvable Lie algebras in an arbitrary finite dimension, where you start with a certain nilpotent Lie algebra and find
nilpotent extensions of it to an arbitrary finite dimension. Further working with such nilpotent Lie algebra you could find all possible solvable indecomposable extensions of this algebra to an arbitrary finite dimension. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 03 / 2013 |

Time: | 01:25pm - 02:15pm |