GROBNER-SHIRSHOV BASES OF SOME WEYL GROUPS

被引：6

作者：

Karpuz, Eylem Guzel ^{[1
]}

Ates, Firat ^{[2
]}

Cevik, A. Sinan ^{[3
]}

机构：

[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, TR-70100 Karaman, Turkey

[2] Balikesir Univ, Fac Art & Sci, Dept Math, TR-10100 Balikesir, Turkey

[3] Selcuk Univ, Fac Sci, Dept Math, TR-42075 Konya, Turkey

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2015年 / 45卷 / 04期

关键词：

Grobner-Shirshov basis; presentation; Weyl group; AFFINE ROOT SYSTEMS; BRAID GROUP; A(1)((1,1)); SERIES;

D O I：

10.1216/RMJ-2015-45-4-1165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain Crobner-Shirshov (non-commutative) bases for the n-extended affine Weyl group (W) over tilde of type A(1), elliptic Weyl groups of types A(1)((1,1)) A(1)((1,1))* and the 2-extended affine Weyl group of type A(2)((1,1)) with a generator system of a 2-toroidal sense. It gives a new algorithm for getting normal forms of elements of these groups and hence a new algorithm for solving the word problem in these groups.

引用

页码：1165 / 1175

页数：11

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