Geodesic
Crystal isomorphisms and Mullineux involution. II
Nicolas Jacon1 ; Cédric Lecouvey2
1Université de Reims
2Université de Tours
The electronic journal of combinatorics, Tome 31 (2024) no. 1
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We present a new combinatorial and conjectural algorithm for computing the Mullineux involution for the symmetric group and its Hecke algebra. This algorithm is built on a conjectural property of crystal isomorphisms which reduces in fact to iterations of a very elementary procedure on sequences of integers.
DOI : 10.37236/12373
Classification : 20C08, 05E10, 20C20

Nicolas Jacon  1   ; Cédric Lecouvey  2

1 Université de Reims
2 Université de Tours 
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     author = {Nicolas Jacon and C\'edric  Lecouvey},
     title = {Crystal isomorphisms and {Mullineux} involution. {II}},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {1},
     doi = {10.37236/12373},
     zbl = {1536.20015},
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}
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Nicolas Jacon; Cédric  Lecouvey. Crystal isomorphisms and Mullineux involution. II. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/12373

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