From classes in the Weyl group to strata

2024/08/18 by G. Lusztig, Lusztig, G.
Arts and Humanities · Business, Management and Accounting · #Philosophy, Science, and History #University-Industry-Government Innovation Models #Philosophy and History of Science

paper · pdf · doi:10.48550/arxiv.2408.09584

Abstract

In a 2015 paper we have defined a map from the set of conjugacy classes in a Weyl group W to the set of irreducible representations of W (its image parametrizes the strata of a reductive group with Weyl group W). In this paper we provide evidence that this map makes sense even when W is replaced by a noncrystallographic Coxeter group.

Related

• Distinguished strata in a reductive group
• From unipotent classes to conjugacy classes in the Weyl group
• From conjugacy classes in the Weyl group to unipotent classes, II
• From conjugacy classes in the Weyl group to representations
• Strata and almost special representations