The Classification of Spinors Under GSpin 14 Over Finite Fields

DOI10.2307/2154101zbMath0798.22007OpenAlexW4253395417MaRDI QIDQ4015856

Xiaowei Zhu

Publication date: 29 November 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154101

zbMATH Keywords

Haar measuremeromorphic functionrepresentation spacespinor groupprehomogeneous vector space\(p\)-adic local field\(b\)-functionreal polesirreducible relative invarianthalf-spin representation

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over finite fields (20G40) Harmonic analysis on homogeneous spaces (43A85) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Zeta functions and (L)-functions (11S40)

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