Cells and Constructible Representations in type B

Mathematics – Representation Theory

Scientific paper

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15 pages, 5 figures

Scientific paper

We examine the partition of a finite Coxeter group of type $B$ into cells
determined by a weight function $L$. The main objective of these notes is to
reconcile Lusztig's description of constructible representations in this
setting with conjectured combinatorial descriptions of cells.

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