Hecke algebras with unequal parameters and Vogan's left cell invariants

2015/02/05 by Cédric Bonnafé, Bonnafé, Cédric, Meinolf Geck +1 · 1 citation
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1502.01661

15 pages. arXiv admin note: substantial text overlap with arXiv:1405.5736

arxiv created 2015/02/05 · arxiv updated 2015/02/06

Abstract

In 1979, Vogan introduced a generalised \τ -invariant for characterising primitive ideals in enveloping algebras. Via a known dictionary this translates to an invariant of left cells in the sense of Kazhdan and Lusztig. 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.

Citations

• A generalised τ-invariant for the unequal parameter case

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