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Abstract Let F be a non-Archimedean local field of characteristic 0 and G = Sp ( 4 , F ) . Let ( π , W ) be an irreducible… Click to show full abstract
Abstract Let F be a non-Archimedean local field of characteristic 0 and G = Sp ( 4 , F ) . Let ( π , W ) be an irreducible smooth self-dual representation of G. The space W of π admits a non-degenerate G-invariant bilinear form ( , ) which is unique up to scaling. It can be shown that ( , ) is either symmetric or skew-symmetric and we set e ( π ) = ± 1 accordingly. In this paper, we show that e ( π ) = 1 when π is an Iwahori-spherical representation of G.
Keywords:
self dual;
note self;
dual representations
Journal Title: Journal of Number Theory
Year Published: 2019
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Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!