The hook fusion procedure

Details The hook fusion procedure The hook fusion procedure

2005-02-24

arxiv.org/abs/math/0502521v2

Electronic Journal of Combinatorics 12(1), (2005), R26

Mathematics

Representation Theory

19 pages

Scientific paper

We derive a new expression for the diagonal matrix elements of irreducible
representations of the symmetric group. We obtain this new expression using
Cherednik's fusion procedure. However, instead of splitting Young diagrams into
their rows or columns, we consider their principal hooks. This minimises the
number of auxiliary parameters needed in the fusion procedure.

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