Frontiers of Mathematics in China >

2015 , Vol. 10 >Issue 6: 1473 - 1481

DOI: https://doi.org/10.1007/s11464-015-0498-3

RESEARCH ARTICLE

Nil-Coxeter algebras and nil-Ariki-Koike algebras

  • Guiyu YANG
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  • School of Science, Shandong University of Technology, Zibo 255049, China

Received date: 11 May 2014

Accepted date: 28 Aug 2015

Published date: 12 Oct 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： nil-Coxeter algebras; nil-Ariki-Koike algebras

Cite this article

Guiyu YANG . Nil-Coxeter algebras and nil-Ariki-Koike algebras[J]. Frontiers of Mathematics in China, 2015 , 10(6) : 1473 -1481 . DOI: 10.1007/s11464-015-0498-3

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