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arxiv: 1109.6625 · v1 · pith:4WKJWL5Gnew · submitted 2011-09-29 · 🧮 math.CO

Higher matrix-tree theorems

classification 🧮 math.CO
keywords matrix-treereflectionstheoremcalculatecommutatorsdeterminantsgeneralizehigher
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We calculate determinants of weighted sums of reflections and of (nested) commutators of reflections. The results obtained generalize the Kirchhoff's matrix-tree theorem and the matrix-3-hypertree theorem by G.\,Massbaum and A.\,Vaintrob.

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