Nil-Coxeter algebras and nil-Ariki-Koike algebras

doi:10.1007/s11464-015-0498-3

Front. Math. China

2015, Vol. 10

Issue (6) : 1473-1481 https://doi.org/10.1007/s11464-015-0498-3

RESEARCH ARTICLE

Nil-Coxeter algebras and nil-Ariki-Koike algebras

Guiyu YANG(

)

School of Science, Shandong University of Technology, Zibo 255049, China

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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

Corresponding Author(s): Guiyu YANG

Issue Date: 12 October 2015

Cite this article:

Guiyu YANG. Nil-Coxeter algebras and nil-Ariki-Koike algebras[J]. Front. Math. China, 2015, 10(6): 1473-1481.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0498-3
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I6/1473

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