arXiv:1602.08392 Abstract | arXiv Analytics

arXiv:1602.08392 [math.AG]Abstract References Reviews Resources

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

Published 2016-02-26Version 1

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).

Comments: 15 pages

Categories: math.AG, math.DG, math.RT

Subjects: 14D20, 20H10, 20C15, 14L30, 20E05, 30F40, 15B57, 51M10

Keywords: invariants, minimal global coordinate system, determine conjugation classes, free group, smaller collection

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