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## Schedule

Date | Speaker | Details |
---|---|---|

Sep. 29, 2019. 19:15 | Preliminary meeting. Selection of a seminar topic, administrative details, etc. | |

Oct. 10, 2019. 20:30 | Devkota, Prabhat |
References: You can find notes here. |

Oct. 18, 2019. 19:30 |
References: See Sections 4.1 to 4.4 in Alexander Kirillov's notes. For a review of common linear-algebraic constructions refer to Appendix B in Fulton and Harris' "Representation Theory: A First Course" | |

Oct. 25, 2019. | No meeting. | |

Nov. 1, 2019. | Young diagrams. Young diagrams and their connections with the representation theory of the symmetric groups and the simpler Lie algebras. References: See Appendix A of Lando's Graphs on Surfaces and their Applications for a quick overview (also here). Chapters 1-2 of Serre's Linear Representations of Finite Groups are also useful. | |

Nov. 8, 2019 | First look at the classification of connected abelian Lie groups and connected complex abelian Lie groups. The notes can be found here. | |

Nov 15, 2019 | Aryal, Deepak | Killing form, solvable, nilpotent and semi-simple lie algebras, existence of maximal solvable and nilpotent radical, equivalent definitions of semisimple lie algebras (in terms of killing form and direct sum of simple lie algebra). References: Page 88-90 and 95-98 of the book "Lie Groups: An approach through invariants and representations" by Claudio Procesi. |

Nov 22, 2019 |
- Cartan subalgebras, root sets, dual of Cartan subalgebras, root systems, Dynkin diagrams.
References: Fulton and Harris, Part IV section 21.1, Frederic Schuller - Classification of Lie algebras and Dynkin diagrams | |

Nov 29, 2019 | Oprea, Maria Antonia | |

Dec 06, 2019 | Pal, Abhik |

## General Information

### Meeting time, location

Friday, 19:30. Room 120 (Seminar Room), Research 1

### Participants

Pal, AbhikAryal, Deepak Irungu, Martin Waiharo Falkenburg, Pia Cosma Devkota, Prabhat Blloshmi, Denida Mele, Crystal Oprea, Maria Antonia