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Working paper

Higher matrix-tree theorems

arxiv.org. math. Cornell University, 2011. No. 1109.6625.
Burman Y. M., Ploskonosov A., Trofimova A.

We calculate determinants of weighted sums of reflections and of (nested) commutators of reflections. The results obtained generalize the matrix-tree theorem by Kirchhoff and the Pfaffian-hypertree theorem by Massbaum and Vaintrob.