DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, MH | ko |
dc.contributor.author | Myung, Hyo Chul | ko |
dc.date.accessioned | 2013-02-27T19:15:34Z | - |
dc.date.available | 2013-02-27T19:15:34Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2000 | - |
dc.identifier.citation | JOURNAL OF LIE THEORY, v.10, no.1, pp.81 - 91 | - |
dc.identifier.issn | 0949-5932 | - |
dc.identifier.uri | http://hdl.handle.net/10203/70323 | - |
dc.description.abstract | Let G be a semisimple Lie group of Hermitian type, K subset of G a maximal compact subgroup, and P subset of G a minimal parabolic subgroup associated to K. If sigma is a finite-dimensional representation of It in a complex vector space, it determines the associated homogeneous vector bundles on the homogeneous manifolds G/P and G/K. The Poisson transform associates to each section of the bundle over G/P a section of the bundle over G/K, and it generalizes the classical Poisson integral. Given a discrete subgroup Gamma of G, we prove that the image of a Gamma-invariant section of the bundle over G/P under the Poisson transform is a holomorphic automorphic form on G/K for Gamma. We also discuss the special case of symplectic groups in connection with holomorphic forms on families of abelian varieties. | - |
dc.language | English | - |
dc.publisher | HELDERMANN VERLAG | - |
dc.title | Poisson liftings of holomorphic automorphic forms on semisimple Lie groups | - |
dc.type | Article | - |
dc.identifier.wosid | 000086514400004 | - |
dc.identifier.scopusid | 2-s2.0-0442294835 | - |
dc.type.rims | ART | - |
dc.citation.volume | 10 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 81 | - |
dc.citation.endingpage | 91 | - |
dc.citation.publicationname | JOURNAL OF LIE THEORY | - |
dc.contributor.localauthor | Myung, Hyo Chul | - |
dc.contributor.nonIdAuthor | Lee, MH | - |
dc.type.journalArticle | Article | - |
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