Special modules over positively based algebras

2016/01/26 by Tobias Kildetoft, Volodymyr Mazorchuk · 1 citation
Mathematics · #math.RT #math.GR #math.RA

paper · pdf

published as Documenta Math. 21 (2016) 1171--1192

arxiv created 2016/01/26 · arxiv updated 2016/12/30

Abstract

We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group algebras of finite Weyl groups with respect to the Kazhdan-Lusztig basis, this agrees with Lusztig's notion of a special module introduced in [Lu1].

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