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arXiv · 1502.01661

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

Cédric Bonnafé·Meinolf Geck
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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.

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BibTeXRIS

Cédric Bonnafé, Meinolf Geck. 2015-02-05. Hecke algebras with unequal parameters and Vogan's left cell invariants. https://arxiv.org/abs/1502.01661

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