Math Colloquia

1049

Date | Sep 17, 2015 |
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Speaker | 권재훈 |

Dept. | 서울대 |

Room | 129-101 |

Time | 16:00-17:00 |

The character of the finite-dimensional irreducible modules over a finite-dimensional simple Lie algebra is given by the celebrated Weyl character formula. However, such a formula does not hold in general for finite-dimensional irreducible modules over classical Lie superalgebras.

In this talk, we give a brief review on classical results and then introduce an analogous conjectural

character formula for finite-dimensional irreducible modules over classical Lie superalgebras, often referred to as Kac-Wakimoto formula, together with our recent work on the proof for the case of ortho-symplectic Lie superalgebras.

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