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

Krishnendu Gongopadhyay; Sean Lawton

arxiv: 1602.08392 · v2 · pith:WIMNS2EEnew · submitted 2016-02-26 · 🧮 math.AG · math.DG· math.RT

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

Krishnendu Gongopadhyay , Sean Lawton This is my paper

classification 🧮 math.AG math.DGmath.RT

keywords pairssystemcharacterclassescollectionconjugationcoordinatecoordinates

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

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