Geodesic
Two maps on affine type \(A\) crystals and Hecke algebras
Nicolas Jacon1
1Université de Reims
The electronic journal of combinatorics, Tome 28 (2021) no. 2
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We use the crystal isomorphisms of the Fock space to describe two maps on partitions and multipartitions which naturally appear in the crystal basis theory for quantum groups in affine type $A$ and in the representation theory of Hecke algebras of type $G(l,l,n)$.
DOI : 10.37236/10240
Classification : 20C08, 05E10, 17B37
Mots-clés : Hecke algebra, complex reflection group, crystal, Fock space, Clifford theory

Nicolas Jacon  1

1 Université de Reims 
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     author = {Nicolas Jacon},
     title = {Two maps on affine type {\(A\)} crystals and {Hecke} algebras},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {2},
     doi = {10.37236/10240},
     zbl = {1475.20009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10240/}
}
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Nicolas Jacon. Two maps on affine type \(A\) crystals and Hecke algebras. The electronic journal of combinatorics, Tome 28 (2021) no. 2. doi: 10.37236/10240

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