1 2 Fe b 20 03 Hecke algebras of classical type and their representation type
نویسندگان
چکیده
The purpose of this article is to determine representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances in the theory of finite dimensional algebras.
منابع مشابه
algebras of classical type and their representation type
The purpose of this article is to determine representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances in the theory of finite dimensional algebras. Principal computation is for Hecke algebras of type B with two parameters. Then, we show that the rep...
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The purpose of this article is to determine representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances in the theory of finite dimensional algebras. Principal computation is for Hecke algebras of type B with two parameters. Then, we show that the rep...
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We apply the crystal basis theory for Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type G(p, p, n). This yields a classification of simple modules over these cyclotomic Hecke algebras in the non-separated case, generalizing our previous work [J. Hu, J. Algebra 267 (2003) 7-20]. The separated case was completed in [J. Hu, J. Algebra ...
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تاریخ انتشار 2003