Journal of Mathematical Physics<\/a>\u00a058, 041702 (2017);<\/strong><\/p>\n https:\/\/doi.org\/10.1063\/1.4979623<\/p>\n Abstract:\u00a0We introduce a Dirac operator Authors:\u00a0Pavle Pand\u017ei\u0107,\u00a0Petr Somberg Journal of Mathematical Physics\u00a058, 041702 (2017); https:\/\/doi.org\/10.1063\/1.4979623 Abstract:\u00a0We introduce a Dirac operator for the quantum group , as an element of the tensor product of with the Clifford algebra on two generators. We study the properties of , including an analogue of Vogan’s conjecture. We compute the […]<\/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\/hr\/wp-json\/wp\/v2\/posts\/554"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/comments?post=554"}],"version-history":[{"count":4,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/554\/revisions"}],"predecessor-version":[{"id":558,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/554\/revisions\/558"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=554"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"D\"](\"https:\/\/quicklatex.com\/cache3\/f5\/ql_8d3dc7b17da5b6389f52e0cd0da3f5f5_l3.png\" "\\"Rendered")
for the quantum group ![\"U_q(\mathfrak{sl}_2)\"](\"https:\/\/quicklatex.com\/cache3\/ef\/ql_397dbbd4b7350d17a67b98a2721775ef_l3.png\" "\\"Rendered")
, as an element of the tensor product of with the Clifford algebra on two generators. We study the properties of , including an analogue of Vogan’s conjecture. We compute the cohomology of acting on various -modules.<\/p>","protected":false},"excerpt":{"rendered":"