Geodesic
Cyclic sieving, necklaces, and branching rules related to Thrall's problem
Connor Ahlbach1 ; Joshua P. Swanson1
1University of Washington
The electronic journal of combinatorics, Tome 25 (2018) no. 4
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We show that the cyclic sieving phenomenon of Reiner-Stanton-White together with necklace generating functions arising from work of Klyachko offer a remarkably unified, direct, and largely bijective approach to a series of results due to Kraśkiewicz-Weyman, Stembridge, and Schocker related to the so-called higher Lie modules and branching rules for inclusions $ C_a \wr S_b \hookrightarrow S_{ab} $. Extending the approach gives monomial expansions for certain graded Frobenius series arising from a generalization of Thrall's problem.
DOI : 10.37236/8198
Classification : 05E05, 05E10
Mots-clés : cyclic sieving, necklaces, branching rules, Thrall's problem, wreath products, plethysm, major index

Connor Ahlbach  1   ; Joshua P. Swanson  1

1 University of Washington 
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     title = {Cyclic sieving, necklaces, and branching rules related to {Thrall's} problem},
     journal = {The electronic journal of combinatorics},
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Connor Ahlbach; Joshua P. Swanson. Cyclic sieving, necklaces, and branching rules related to Thrall's problem. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/8198

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