Geodesic
The hook fusion procedure.
The electronic journal of combinatorics, Tome 12 (2005)

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Zbl arXiv EuDML
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.
DOI : 10.37236/1923
Classification : 20C30, 05E10
Mots-clés : diagonal matrix elements, irreducible representations of symmetric groups, Young diagrams, principal hooks 
James Grime. The hook fusion procedure.. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1923
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     author = {James Grime},
     title = {The hook fusion procedure.},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1923},
     zbl = {1077.20019},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1923/}
}
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