2013/05/30 by G. Lusztig, Lusztig, G.
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1305.7168
openalex publication_date 2013/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G be a connected reductive group over an algebraically closed field. We define a decomposition of G into finitely many strata such that each stratum is a union of conjugacy classes of fixed dimension; the strata are indexed by a set defined in terms of the Weyl group which is independent of the characteristic. In the case where G is replaced by the corresponding loop group we define an analogous decomposition of the set of regular semisimple compact elements into countably many strata.