In 1996, E. Formanek classified all the irreducible complex representations of B n of dimension at most n y 1, where B is the Artin braid group on n strings. In this n paper we extend this classification to the representations of dimension n, for n G 9. We prove that all such representations are equ
On Free Deformations of the Braid Arrangement
β Scribed by Christos A. Athanasiadis
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 175 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
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β¦ Synopsis
We classify the hyperplane arrangements between the cones of the braid arrangement and the Shi arrangement of type A n-1 which are free, in the sense of Terao. We also prove that the cones of the extended Shi arrangements of type A n-1 are free, verifying part of a conjecture of Edelman and Reiner.
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