A finite presentation for extended affine Weyl groups (simply laced types)

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Extended affine Weyl groups are the Weyl groups of extended affine root systems. Finite presentations for extended affine Weyl groups are known only for nullities $\leq 2$, where for nullity 2 there is only one known such presentation. We give a finite presentation for the class of simply laced extended affine Weyl groups. Our presentation is nullity free if rank $>1$ and for rank 1 it is given for nullities $\leq 3$. The generators and relations are given uniformly for all types, and for a given nullity they can be read from the corresponding finite Cartan matrix and the semilattice involved in the structure of the root system.
18 pages, replacement of sections, corrections of typoes, modification of some statements, the abstract and introduction is also modified

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Representation Theory, Quantum Algebra, 20F55; 17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/111613

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604401
 http://arxiv.org/abs/math/0604401

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arXiv