2014/05/22 by Meinolf Geck, Geck, Meinolf
Mathematics · #20C40 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1405.5736
openalex publication_date 2014/05/22 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
In 1979, Vogan proposed a generalised τ-invariant for characterising primitive ideals in enveloping algebras. Via a known dictionary this translates to an invariant of left cells of finite Weyl groups. Although it is not a complete invariant, it is extremely useful in describing left cells. Here, we propose a general framework for defining such invariants which also applies to Hecke algebras with unequal parameters.