On counting twists of a character appearing in its associated Weil representation

DOI10.1007/S12044-011-0001-3zbMath1283.11084arXiv1001.2248OpenAlexW3103518359MaRDI QIDQ353962

K. Vishnu Namboothiri

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2248

zbMATH Keywords

irreducibleWeil representationadmissible representation of \(\text{GL}(2,F)\)epsilon-factor of a characternonarchimedian local fieldnumber of characters appearing in its restriction

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Uniqueness of Graded Primary Decomposition of Modules Graded Over Finitely Generated Abelian Groups ⋮ Projective normality of G.I.T. quotient varieties modulo finite groups

Cites Work

• Completing an extension of Tunnell's theorem
• Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
• Relating invariant linear form and local epsilon factors via global methods. (With an appendix by Hiroshi Saito)
• Local ε-Factors and Characters of GL(2)
• A converse theorem for epsilon factors

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