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Topology of eigenspace posets for unitary reflection groups

By Justin Koonin


The eigenspace theory of unitary reflection groups, initiated by Springer and Lehrer, suggests that the following object is worthy of study: the poset of eigenspaces of elements of a unitary reflection group, for a fixed eigenvalue, ordered by the reverse of inclusion. We investigate topological properties of this poset. The new results extend the well-known work of Orlik and Solomon on the lattice of intersections of hyperplanes.Comment: 21 page

Topics: Mathematics - Combinatorics, Mathematics - Algebraic Topology, Mathematics - Group Theory, Mathematics - Representation Theory, 20F55, 05E45
Year: 2013
OAI identifier: oai:arXiv.org:1208.1799
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