Geodesic
A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of the symmetric group.
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the $0$-Hecke algebra of the symmetric group, $\mathbb{C}H_0(S_N)$. This construction is compatible with the branching from $S_{N-1}$ to $S_{N}$.
DOI : 10.37236/515
Classification : 20C08, 05E10, 20C30
Mots-clés : 0-Hecke algebras, symmetric groups, Iwahori-Hecke algebras, branching rules, simple representations, projective indecomposable modules, orthogonal idempotents, indecomposable modules, Dynkin diagrams 
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     author = {Tom Denton},
     title = {A combinatorial formula for orthogonal idempotents in the {0-Hecke} algebra of the symmetric group.},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/515},
     zbl = {1214.20003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/515/}
}
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Tom Denton. A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of the symmetric group.. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/515

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