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Root Systems and Length Functions

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Abstract

We introduce root systems for those imprimitive complex reflection groups which are generated by involutory reflections, and study the associated length functions. These have many properties in common with the usual length functions for finite Weyl groups.

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References

  1. Bremke, K. and Malle, G.: Reduced words and a length function for G(e,1,n), Indag. Math. 8 (1997), 453- 469.

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  2. Broué, M., Malle, G. and Rouquier, R.: On Complex Reflection Groups and Their Associated Braid Groups, in B. N. Allison and G. H. Cliff (eds), Representations of groups, CMS Conference Proceedings 16, Amer. Math. Soc., Providence, 1995, pp. 1- 13.

  3. Carter, R. W.: Simple Groups of Lie Type, Wiley, London, 1972.

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Authors and Affiliations

  1. Deutsche Bank, Credit Risk Management, Taunusanlage 12, D 60325, Frankfurt, Germany; e-mail

    Kirsten Bremke

  2. I W R, Im Neuenheimer Feld 368, D-69120, Heidelberg, Germany; e-mail

    Gunter Malle

Authors
  1. Kirsten Bremke
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  2. Gunter Malle
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Bremke, K., Malle, G. Root Systems and Length Functions. Geometriae Dedicata 72, 83–97 (1998). https://doi.org/10.1023/A:1005082508279

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  • DOI: https://doi.org/10.1023/A:1005082508279

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