Distinguished strata in a reductive group

2021/07/04 by G. Lusztig, Lusztig, G.
Chemistry · Mathematics · #Advanced Algebra and Geometry #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2107.01666

openalex publication_date 2021/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The set of strata of a reductive group can be viewed as an enlargement of the set of unipotent classes. In this paper the notion of distinguished unipotent class is extended to this larger set. The strata of a Weyl group are introduced and studied.

Related

• Rigid strata in a reductive group
• From classes in the Weyl group to strata
• Strata and almost special representations
• On conjugacy classes in a reductive group
• From unipotent classes to conjugacy classes in the Weyl group