The Braid Group and Linear Rigidity |
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Authors: | Helmut Völklein |
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Institution: | (1) Department of Mathematics, University of Florida, Gainesville, FL, 32611, U.S.A. |
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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 = ). |
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Keywords: | Artin braid group rigidity inverse Galois theory linear differential equations |
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