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arXiv · 1602.08392

Invariants of pairs in SL(4,C) and SU(3,1)

Krishnendu Gongopadhyay·Sean Lawton
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Abstract

We describe a minimal global coordinate system of order 30 on the SL(4,C)-character variety of a rank 2 free group. Using symmetry within this system, we obtain a smaller collection of 22 coordinates subject to 5 further real relations that determine conjugation classes of generic pairs of matrices in SU(3,1).

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Krishnendu Gongopadhyay, Sean Lawton. 2016-02-26. Invariants of pairs in SL(4,C) and SU(3,1). https://doi.org/10.1090/proc/13638

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