Minimal length elements in conjugacy classes of extended affine Weyl group

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We study the minimal length elements in an integral conjugacy class of a
classical extended affine Weyl group and we show that these elements are quite
"special" in the sense of Geck and Pfeiffer \cite{GP93}. We also discuss some
application on extended affine Hecke algebras and loop groups.

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