We meet Fridays 3:10pm-4:00pm in Carver 401. For more information, please contact Jonas Hartwig (jth@iastate.edu, Carver 470).

Topics we might talk about in this seminar include

- simple Lie algebras,
- Kac-Moody algebras,
- quantized enveloping algebras, Yangians,
- representations, Category O.

References for the interested:

- Applications of Lie theory?
- TWF Week 5 by John Baez. A brief but very enjoyable basic introduction to Lie algebras, representations, quantum groups.
- Basic concepts of Lie algebras by Maths14
- Lie algebra on Wikipedia
- Notes on the classification of complex Lie algebras by Terry Tao

- Introduction to Lie Groups and Lie Algebras by Alexander Kirillov, Jr.
- Lie Algebras, Algebraic Groups, and Lie Groups by J.S. Milne
- Introduction to Lie algebras and their Representation Theory by Humphreys
- Introduction to Lie algebras by Nicolas Perrin

Date | Speaker | Title | Relevant Links |
---|---|---|---|

01/20/17 | Mark Hunacek | Modular Lie algebras | Benkart Rumynin |

01/27/17 | J.H. | Simple weight modules over Lie algebras | Mathieu |

02/03/17 | J.H. | Parabolic induction | Fernando |

02/10/17 | J.H. | Gelfand-Tsetlin Bases | Lecture Notes |

02/17/17 | N/A | No Seminar | |

02/24/17 | Ben Sheller | Lie Groups and Manifolds (tentative title) |

Date | Speaker | Title | Relevant Links |
---|---|---|---|

9/14/16 | Organizational meeting | This webpage! | |

9/23/16 | No meeting | ||

9/30/16 | J.H. | Lie algebras and homomorphisms; Examples; Classification problem |
Notes-1 |

10/7/16 | No meeting | ||

10/14/16 | J.H. | Root space decomposition for sl(3) | Notes to be posted |

10/21/16 | J.H. | Classification of simple Lie algebras | Notes-3 |

10/24/16 | J.H. | [Alg/Comb Sem] Lie superalgebras and super-differential operators I | Notes-4 Kac Serganova |

10/31/16 | J.H. | [Alg/Comb Sem] Lie superalgebras and super-differential operators II | Notes to be posted |

11/4/16 | J.H. | What about E_{9}? Kac-Moody algebras. |
Notes-6 |

11/11/16 | Tathagata Basak | Reflection groups I | Notes-7 |

11/18/16 | Tathagata Basak | Reflection groups II | |

11/25/16 | Thanksgiving week, no talk | ||

12/2/16 | Animesh Biswas | The Heisenberg group and its representations |