Gelfand models for classical Weyl groups

José O. Araujo; Tim Bratten

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arXiv · 1112.3585

Gelfand models for classical Weyl groups

José O. Araujo·Tim Bratten

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Abstract

In a recent preprint Kodiyalam and Verma give a particularly simple Gelfand model for the symmetric group that is built naturally on the space of involutions. In this manuscript we give a natural extension of Kodiyalam and Verma's model to a Gelfand model for Weyl groups of type B_{n} and D_{2n+1}. Then we define an explicit isomorphism between this Gelfand model and the polynomial model using a technique that we call telescopic decomposition.

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BibTeX RIS

José O. Araujo, Tim Bratten. 2011-12-15. Gelfand models for classical Weyl groups. https://arxiv.org/abs/1112.3585

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