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  • 标题:Generalizations of the standard Artin representation are unitary
  • 本地全文:下载
  • 作者:Mohammad N. Abdulrahim
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2005
  • 卷号:2005
  • DOI:10.1155/IJMMS.2005.1321
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada. We show that the images of the generators of the braid group under the Magnus representation are unitary relative to a Hermitian matrix. As a special case, we get that the Burau representation is unitary, which was known and proved by C. C. Squier.
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