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arXiv · 1303.5155

Homology representations of unitary reflection groups

Justin Koonin
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Abstract

This paper continues the study of the poset of eigenspaces of elements of a unitary reflection group (for a fixed eigenvalue), which was commenced in [6] and [5]. The emphasis in this paper is on the representation theory of unitary reflection groups. The main tool is the theory of poset extensions due to Segev and Webb ([16]). The new results place the well-known representations of unitary reflection groups on the top homology of the lattice of intersections of hyperplanes into a natural family, parameterised by eigenvalue.

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Justin Koonin. 2013-04-02. Homology representations of unitary reflection groups. https://arxiv.org/abs/1303.5155

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