{"id":105,"date":"2016-10-28T19:24:45","date_gmt":"2016-10-28T10:24:45","guid":{"rendered":"http:\/\/192.168.99.111\/sk23\/?p=105"},"modified":"2019-02-12T11:37:26","modified_gmt":"2019-02-12T02:37:26","slug":"a-reciprocity-theorem-for-sp2n-c","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2016\/10\/28\/a-reciprocity-theorem-for-sp2n-c\/","title":{"rendered":"[\uc138\ubbf8\ub098] A Reciprocity Theorem for Sp(2n, C)"},"content":{"rendered":"<p>&#8211; \uc77c\uc2dc: 2016\ub144 11\uc6d4 4\uc77c 3\uc2dc 30\ubd84,<br \/>\n&#8211; \uc7a5\uc18c: \uc774\ud559\uad00 514\ud638<br \/>\n&#8211; \uc5f0\uc0ac: Professor Soo Teck Lee (National University of Singapore)<br \/>\n&#8211; \uc81c\ubaa9: A reciprocity theorem for the symplectic group<\/p>\n<p>In this talk, we use the theory of skew duality of Howe to show that decomposing tensor products and branching are equivalent for the complex symplectic group. We use this theorem to obtain a skew Pieri rule for the symplectic group, by which we mean a description of how the tensor product of an irreducible representation of the symplectic group with a fundamental representation decomposes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8211; \uc77c\uc2dc: 2016\ub144 11\uc6d4 4\uc77c 3\uc2dc 30\ubd84, &#8211; \uc7a5\uc18c: \uc774\ud559\uad00 514\ud638 &#8211; \uc5f0\uc0ac: Professor Soo Teck Lee (National University of Singapore) &#8211; \uc81c\ubaa9: A reciprocity theorem for the symplectic group In this talk, we use the theory of skew duality of Howe to show that decomposing tensor products and branching are equivalent for the complex &#8230; <a title=\"[\uc138\ubbf8\ub098] A Reciprocity Theorem for Sp(2n, C)\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2016\/10\/28\/a-reciprocity-theorem-for-sp2n-c\/\" aria-label=\"[\uc138\ubbf8\ub098] A Reciprocity Theorem for Sp(2n, C)\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-105","post","type-post","status-publish","format-standard","hentry","category-news-events"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/sk23","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/comments?post=105"}],"version-history":[{"count":7,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/105\/revisions"}],"predecessor-version":[{"id":675,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/105\/revisions\/675"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}