lie modules
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10.37236/8198 ◽  
2018 ◽  
Vol 25 (4) ◽  
Author(s):  
Connor Ahlbach ◽  
Joshua P. Swanson

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.


2017 ◽  
pp. 23-35 ◽  
Author(s):  
Lina Oliveira ◽  
Miguel Santos

2016 ◽  
Vol 445 ◽  
pp. 280-294
Author(s):  
Kay Jin Lim ◽  
Kai Meng Tan
Keyword(s):  

2015 ◽  
Vol 219 (11) ◽  
pp. 4816-4839 ◽  
Author(s):  
Roger M. Bryant ◽  
Susanne Danz ◽  
Karin Erdmann ◽  
Jürgen Müller
Keyword(s):  

2014 ◽  
Vol 68 (2) ◽  
pp. 377-403
Author(s):  
Nagatoshi SASANO
Keyword(s):  

2011 ◽  
Vol 63 (4) ◽  
pp. 845-853 ◽  
Author(s):  
R. M. Bryant ◽  
K. J. Lim ◽  
K. M. Tan

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