Special modules over positively based algebras
Documenta mathematica, Tome 21 (2016), pp. 1171-1192
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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].
Classification :
16G10, 16W99, 20C08
Mots-clés : algebra, positive basis, idempotent, cell, cell representation, special representation
Mots-clés : algebra, positive basis, idempotent, cell, cell representation, special representation
Tobias Kildetoft; Volodymyr Mazorchuk. Special modules over positively based algebras. Documenta mathematica, Tome 21 (2016), pp. 1171-1192. doi: 10.4171/dm/555
@article{10_4171_dm_555,
author = {Tobias Kildetoft and Volodymyr Mazorchuk},
title = {Special modules over positively based algebras},
journal = {Documenta mathematica},
pages = {1171--1192},
year = {2016},
volume = {21},
doi = {10.4171/dm/555},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/555/}
}
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