{"id":548,"date":"2017-12-03T16:13:52","date_gmt":"2017-12-03T14:13:52","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=548"},"modified":"2017-12-03T16:20:20","modified_gmt":"2017-12-03T14:20:20","slug":"on-classifying-unitary-modules-by-their-dirac-cohomology","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/on-classifying-unitary-modules-by-their-dirac-cohomology\/","title":{"rendered":"On classifying unitary modules by their Dirac cohomology"},"content":{"rendered":"

<\/p>\n

Authors:\u00a0\u00a0<\/span>Jing-Song Huang, Pavle Pand\u017ei\u0107, David Vogan<\/span><\/strong><\/p>\n

Science China Mathematics<\/a>,\u00a0<\/span>Issue\u00a011<\/a>,\u00a0pp 1937\u20131962.<\/span><\/strong><\/p>\n

https:\/\/doi.org\/10.1007\/s11425-017-9097-8<\/p>\n

Abstract:<\/strong>\u00a0Let \"G\"\u00a0be a connected real reductive group with maximal compact subgroup \"K\"\u00a0of the same rank as \"G\". Dirac cohomology of an \"A_{\mathfrak{q}}(\lambda)\" module can be identified with a geometric object\u2014the\u00a0\"\mathfrak{t}\"-dominant part of a face of the convex hull of the Weyl group orbit of the parameter \"\lambda + \rho\". We show how Dirac cohomology can be used as a parameter to classify the\u00a0\u00a0\"A_{\mathfrak q}(\lambda)\"\u00a0modules.<\/p>","protected":false},"excerpt":{"rendered":"

Authors:\u00a0\u00a0Jing-Song Huang, Pavle Pand\u017ei\u0107, David Vogan Science China Mathematics,\u00a0November 2017,\u00a0Volume 60,\u00a0Issue\u00a011,\u00a0pp 1937\u20131962. https:\/\/doi.org\/10.1007\/s11425-017-9097-8 Abstract:\u00a0Let \u00a0be a connected real reductive group with maximal compact subgroup \u00a0of the same rank as . Dirac cohomology of an module can be identified with a geometric object\u2014the\u00a0-dominant part of a face of the convex hull […]<\/a><\/p>\n<\/div>","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18,14],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/548"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/comments?post=548"}],"version-history":[{"count":5,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/548\/revisions"}],"predecessor-version":[{"id":553,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/548\/revisions\/553"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media?parent=548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/categories?post=548"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/tags?post=548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}