Kildetoft, Tobias; Mazorchuk, Volodymyr

Special modules over positively based algebras

Doc. Math., J. DMV 21, 1171-1192 (2016)

Summary

Summary: 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].

Mathematics Subject Classification

16G10, 16W99, 20C08

Keywords/Phrases

algebra, positive basis, idempotent, cell, cell representation, special representation

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