Weil's representations of the symplectic groups over finite fields

DOI10.2969/jmsj/03120399zbMath0425.20033OpenAlexW1998333429MaRDI QIDQ1135363

Hiroyuki Yoshida

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2969/jmsj/03120399

zbMATH Keywords

symplectic groupHeisenberg groupunitary representationirreducible representationsWeil representationreductive dual pairmaximal torusstandard symplectic formCoxeter torus

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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