Abstract
Abstract
We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and
$\operatorname {SL}_2$
-web bases of the irreducible
$ \mathfrak {S}_{2n} $
-representation indexed by
$ (n,n) $
, which answers Rhoades’s question. Furthermore, we study enumerative properties of these permutations.
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
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