2015/03/31 by Jaeho Haan
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebra over a field #Conjecture #Mathematical Analysis and Transform Methods #Representation (politics) #Unitary state #math.NT #math.RT
paper · pdf · doi:10.2140/pjm.2017.286.69
published as Pacific J. Math. 286 (2017) 69-89 · This version involves some minor changes from the previous one. To appear in Pacific journal of Mathmatics. arXiv admin note: text overlap with arXiv:1501.00885
arxiv created 2016/06/24 · openalex created_date 2016/06/24 · arxiv updated 2016/12/14 · openalex publication_date 2016/12/14 · openalex updated_date 2026/08/05
For a generic L-parameter of U(n)× U(n), it is conjectured that there is a unique representation in their associated relevant Vogan L-packet which produces the unique Fourier-Jacobi model. We investigated this conjecture for some non-generic L-parameters of U(3)× U(3) and discovered that this conjecture is still true for some non-generic L-parameter and false for some non-generic L-parameter. In the case when it holds, we specified such representation under the local Langlands correspondence for unitary group.