{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:03:52Z","timestamp":1760061832690},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2015,7,1]],"date-time":"2015-07-01T00:00:00Z","timestamp":1435708800000},"content-version":"unspecified","delay-in-days":181,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>For all prime powers <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S146115701500011X_inline1\" \/><jats:tex-math>$q$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> we restrict the unipotent characters of the special orthogonal groups <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S146115701500011X_inline2\" \/><jats:tex-math>$\\text{SO}_{5}(q)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S146115701500011X_inline3\" \/><jats:tex-math>$\\text{SO}_{7}(q)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> to a maximal parabolic subgroup. We determine all irreducible constituents of these restrictions for <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S146115701500011X_inline4\" \/><jats:tex-math>$\\text{SO}_{5}(q)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> and a large part of the irreducible constituents for <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S146115701500011X_inline5\" \/><jats:tex-math>$\\text{SO}_{7}(q)$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>.<\/jats:p>","DOI":"10.1112\/s146115701500011x","type":"journal-article","created":{"date-parts":[[2015,7,28]],"date-time":"2015-07-28T22:43:51Z","timestamp":1438123431000},"page":"456-488","source":"Crossref","is-referenced-by-count":3,"title":["Restricting unipotent characters in special orthogonal groups"],"prefix":"10.1112","volume":"18","author":[{"given":"Frank","family":"Himstedt","sequence":"first","affiliation":[]},{"given":"Felix","family":"Noeske","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2015,7,1]]},"reference":[{"key":"S146115701500011X_r9","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2000.8319"},{"key":"S146115701500011X_r12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2012.11.011"},{"key":"S146115701500011X_r8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2014.04.020"},{"key":"S146115701500011X_r5","first-page":"75","article-title":"The characters of the finite symplectic group Sp4(q), q = 2\n                     f","volume":"9","author":"Enomoto","year":"1972","journal-title":"Osaka J. Math."},{"key":"S146115701500011X_r4","volume-title":"ATLAS of finite groups","author":"Conway","year":"1985"},{"key":"S146115701500011X_r3","volume-title":"Finite groups of Lie type \u2013 conjugacy classes and complex characters","author":"Carter","year":"1985"},{"key":"S146115701500011X_r13","unstructured":"13. T. Schm\u00f6lzer , \u2018Restricting the Steinberg character in finite orthogonal groups\u2019, Diplomarbeit, RWTH Aachen University, 2012."},{"key":"S146115701500011X_r6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01190329"},{"key":"S146115701500011X_r1","doi-asserted-by":"publisher","DOI":"10.1515\/JGT.2006.017"},{"key":"S146115701500011X_r14","volume-title":"The geometry of the classical groups","author":"Taylor","year":"1992"},{"key":"S146115701500011X_r2","doi-asserted-by":"publisher","DOI":"10.1080\/00927871003657545"},{"key":"S146115701500011X_r10","volume-title":"Character theory of finite groups","author":"Isaacs","year":"1994"},{"key":"S146115701500011X_r11","volume-title":"Basic algebra I","author":"Jacobson","year":"1985"},{"key":"S146115701500011X_r7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-04-03477-4"}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S146115701500011X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,21]],"date-time":"2019-04-21T17:02:50Z","timestamp":1555866170000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S146115701500011X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015]]}},"alternative-id":["S146115701500011X"],"URL":"https:\/\/doi.org\/10.1112\/s146115701500011x","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}