{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T13:59:26Z","timestamp":1775483966875,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>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 Kra\u015bkiewicz-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.<\/jats:p>","DOI":"10.37236\/8198","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T14:55:10Z","timestamp":1578668110000},"source":"Crossref","is-referenced-by-count":3,"title":["Cyclic Sieving, Necklaces, and Branching Rules Related to Thrall's Problem"],"prefix":"10.37236","volume":"25","author":[{"given":"Connor","family":"Ahlbach","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7027-9153","authenticated-orcid":false,"given":"Joshua P.","family":"Swanson","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,11,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i4p42\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i4p42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:21:00Z","timestamp":1579234860000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i4p42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,30]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,10,5]]}},"URL":"https:\/\/doi.org\/10.37236\/8198","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,30]]},"article-number":"P4.42"}}