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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Zbl DOI arXiv
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 
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
@article{10_37236_10240,
     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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