Abstract
We show that the transition matrix from the polytabloid basis to the web basis of the irreducible
$\mathfrak{S}_{2n}$
-representation of shape
$(n,n)$
has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko [Int. Math. Res. Not., 2019(5) (2019), 1479–1502].
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Cited by
6 articles.
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