首页 | 本学科首页   官方微博 | 高级检索  
     检索      


The Braid Group and Linear Rigidity
Authors:Helmut Völklein
Institution:(1) Department of Mathematics, University of Florida, Gainesville, FL, 32611, U.S.A.
Abstract:We introduce the BC-operation (short for braid-companion) on tuples of matrices. It corresponds to Katz's middle convolution operation on local systems, and generalizes it to fields K of arbitrary characteristic. It is based on the Burau–Gassner representation of the braid group. We expect many applications, in Galois theory (for finite K) as well as in Katz's original set-up of local systems and linear differential equations (where K = Copf).
Keywords:Artin braid group  rigidity  inverse Galois theory  linear differential equations
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号