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The complexity of the $q$-analog of the $n$-cube

Published 8 Nov 2011 in math.CO | (1111.1799v2)

Abstract: We present a positive, combinatorial, good formula for the complexity (= number of spanning trees) of the $q$-analog of the $n$-cube. Our method also yields the explicit block diagonalization of the commutant of the $GL(n,F_q)$ action on the $q$-analog of the Boolean algebra.

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