{"id":673,"date":"2019-08-22T15:16:18","date_gmt":"2019-08-22T13:16:18","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=673"},"modified":"2019-08-22T15:16:18","modified_gmt":"2019-08-22T13:16:18","slug":"on-irreducibility-of-modules-of-whittaker-type-for-cyclic-orbifold-vertex-algebras","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/on-irreducibility-of-modules-of-whittaker-type-for-cyclic-orbifold-vertex-algebras\/","title":{"rendered":"On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras"},"content":{"rendered":"

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Authors: Dra\u017een Adamovi\u0107,\u00a0Ching Hung Lam,\u00a0Veronika Pedi\u0107,\u00a0Nina Yu<\/strong><\/div>\n<\/div>\n
Journal of Algebra,\u00a0Volume 539,\u00a01 December 2019, Pages 1-23<\/div>\n
https:\/\/doi.org\/10.1016\/j.jalgebra.2019.08.007<\/a><\/div>\n<\/div>\n
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Abstract:<\/strong>\u00a0We extend the Dong-Mason theorem on irreducibility of modules for orbifold vertex algebras (cf.\u00a0[18]<\/a>) to the category of weak modules. Let\u00a0V\u00a0be a vertex operator algebra,\u00a0g\u00a0an automorphism of order\u00a0p. Let\u00a0W\u00a0be an irreducible weak\u00a0V\u2013module such that \"W, W \circ g, \ldots, W \circ g^{p-1}\"\u00a0are inequivalent irreducible modules. We prove that\u00a0W\u00a0is an irreducible weak \"V^{\langle g \rangle}\"\u2013module. This result can be applied on irreducible modules of certain Lie algebra\u00a0L<\/span>\u00a0such that \"W, W \circ g, \ldots, W \circ g^{p-1}\"\u00a0are Whittaker modules having different Whittaker functions. We present certain applications in the cases of the Heisenberg and Weyl vertex operator algebras.<\/div>\n

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Authors: Dra\u017een Adamovi\u0107,\u00a0Ching Hung Lam,\u00a0Veronika Pedi\u0107,\u00a0Nina Yu Journal of Algebra,\u00a0Volume 539,\u00a01 December 2019, Pages 1-23 https:\/\/doi.org\/10.1016\/j.jalgebra.2019.08.007 Abstract:\u00a0We extend the Dong-Mason theorem on irreducibility of modules for orbifold vertex algebras (cf.\u00a0[18]) to the category of weak modules. Let\u00a0V\u00a0be a vertex operator algebra,\u00a0g\u00a0an automorphism of order\u00a0p. Let\u00a0W\u00a0be an irreducible weak\u00a0V\u2013module such that […]<\/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\/673"}],"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=673"}],"version-history":[{"count":20,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/673\/revisions"}],"predecessor-version":[{"id":693,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/673\/revisions\/693"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=673"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}