Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
Monday 4
Karen Yeats
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
A type B analog of the Lie representation
Andrew Berget  1  
1 : Dept of Math, Western Washington University
Bellingham, Washington -  États-Unis

We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular representation of Sn1, and our generalization mimics this property. Specifically, we construct a representation of the type B Weyl group Bn that restricts to the regular representation of Bn1. We view both of these representations as coming from the internal zonotopal algebra of the Gale dual of the corresponding reflection arrangements. 

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