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Abstract
We investigate the properties of nil-Coxeter algebras and nil-Ariki-Koike algebras. To be precise, from the view of standardly based algebras introduced by J. Du, H. Rui [Trans. Amer. Math. Soc, 1998, 350: 3207–3235], we give a description of simple modules of nil-Coxeter algebras and nil-Ariki-Koike algebras. Then we determine the representation type of nil-Coxeter algebras and nil-Ariki-Koike algebras. We also give a description of the center of nil-Ariki-Koike algebras.
Keywords
nil-Coxeter algebras
/
nil-Ariki-Koike algebras
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Guiyu YANG.
Nil-Coxeter algebras and nil-Ariki-Koike algebras.
Front. Math. China, 2015, 10(6): 1473-1481 DOI:10.1007/s11464-015-0498-3
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