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Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2020

A type B analog of the Lie representation

Résumé

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 Sn−1, 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 Bn−1. 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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Dates et versions

hal-02173742 , version 1 (04-07-2019)

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Andrew Berget. A type B analog of the Lie representation. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6327⟩. ⟨hal-02173742⟩
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