Date | 2016-07-19 |
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Speaker | Chul-Hee Lee |

Dept. | Univ. Queensland |

Room | 129-301 |

Time | 16:00-18:30 |

Many interesting quantities in Lie theory involve sums over all the elements of a finite Weyl group. The list of them includes the Weyl character formula and the Kostant weight multiplicity formula, which show up in the study of irreducible representations of a semisimple Lie algebra. Another example can be found in the study of affine algebras : the modular S-matrix related to modular transformation properties of affine characters can also be expressed as such a summation. Thus it is sometimes useful to know how to generate all elements of a given finite Weyl group and work with them explicitly using computers. I will explain some basic ideas together with computer demonstrations.

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