JournalsdmVol. 21pp. 1171–1192

Special modules over positively based algebras

  • Tobias Kildetoft

    Department of Mathematics Department of Mathematics Uppsala University, Box 480 Uppsala University, Box 480 SE-751 06, Uppsala SE-751 06, Uppsala Sweden Sweden

  • Volodymyr Mazorchuk

    Department of Mathematics Department of Mathematics Uppsala University, Box 480 Uppsala University, Box 480 SE-751 06, Uppsala SE-751 06, Uppsala Sweden Sweden
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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].

Cite this article

Tobias Kildetoft, Volodymyr Mazorchuk, Special modules over positively based algebras. Doc. Math. 21 (2016), pp. 1171–1192

DOI 10.4171/DM/555