Extended affine Weyl groups of type A1

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作者
Saeid Azam
Valiollah Shahsanaei
机构
[1] University of Isfahan,The Center for Excellence in Mathematics
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关键词
Dynkin diagram; Weyl groups; Root system;
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摘要
It is known that elliptic Weyl groups, extended affine Weyl groups of nullity 2, have a finite presentation called the generalized Coexter presentation. Similar to the finite and affine case this presentation is obtained by assigning a Dynkin diagram to the root system. Then there is a prescription to read the generators and relations from the diagram. Recently a similar presentation is given for simply laced extended affine Weyl groups of nullity 3 and rank>1. Employing a new method, we complete this work by giving a similar presentation for nullity 3 extended affine Weyl groups of type A1.
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页码:481 / 493
页数:12
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