{"pk":64855,"title":"On characters of wreath products","subtitle":null,"abstract":"A character identity which relates irreducible character values of the hyperoctahedral group $B_n$ to those of the symmetric group $S_{2n}$ was recently proved by Lübeck and Prasad. Their proof is algebraic and involves Lie theory. We present a short combinatorial proof of this identity, as well as a generalization to other wreath products.\n \nMathematics Subject Classifications: 20C30, 20E22, 05E10\n \nKeywords: Character identity, wreath product, partition, Murnaghan-Nakayama rule, colored permutations","language":"en","license":{"name":"Creative Commons Attribution 4.0","short_name":"CC BY 4.0","text":"Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.","url":"https://creativecommons.org/licenses/by/4.0"},"keywords":[{"word":"Character identity"},{"word":"wreath product"},{"word":"partition"},{"word":"Murnaghan-Nakayama rule"},{"word":"colored permutations"}],"section":"Research Articles","is_remote":true,"remote_url":"https://escholarship.org/uc/item/4r2614sp","frozenauthors":[{"first_name":"Ron","middle_name":"M.","last_name":"Adin","name_suffix":"","institution":"Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel","department":""},{"first_name":"Yuval","middle_name":"","last_name":"Roichman","name_suffix":"","institution":"Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel","department":""}],"date_submitted":"2022-06-27T17:27:50Z","date_accepted":"2022-06-27T17:27:50Z","date_published":"2022-06-30T07:00:00Z","render_galley":null,"galleys":[{"label":"","type":"pdf","path":"https://journalpub.escholarship.org/combinatorial_theory/article/64855/galley/49665/download/"}]}