JournalsprimsVol. 44, No. 1pp. 131–161

On the Presentations of Extended Affine Weyl Groups

  • Saeid Azam

    University of Isfahan, Iran

  • Valiollah Shahsanaei

    University of Isfahan, Iran
On the Presentations of Extended Affine Weyl Groups cover
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Abstract

We give a finite presentation for reduced non-simply laced extended affine Weyl groups of arbitrary nullity. When nullity is less than or equal to 3, this presentation reduces to a very simple presentation in which the generators and relations can be easily read from a set of data attached to the root system.

Cite this article

Saeid Azam, Valiollah Shahsanaei, On the Presentations of Extended Affine Weyl Groups. Publ. Res. Inst. Math. Sci. 44 (2008), no. 1, pp. 131–161

DOI 10.2977/PRIMS/1207921079