Date | 2020-01-08 |
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Speaker | 김동관 |

Dept. | University of Minnesota |

Room | 129-301 |

Time | 16:00-17:00 |

For a Coxeter group W, a W-graph is a graph which produces a nice basis of the corresponding representation of W and also describes the action of W on the basis elements. Even when W is finite and its irreducible characters are known, W-graphs are still useful for understanding representations of W. In this talk, I will talk about W-graphs when W is an (extended) affine symmetric group, especially when these graphs are associated with “two-row partitions”. Also I will discuss the connection between them and Lusztig’s periodic W-graph. This work is joint with Pavlo Pylyavskyy.

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