Finite Weil representations and associated Hecke algebras

DOI10.1016/j.jnt.2008.09.015zbMath1247.11061OpenAlexW2064058971MaRDI QIDQ1011677

Gabriele Nebe

Publication date: 9 April 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.09.015

zbMATH Keywords

Weil representationHecke algebraClifford-Weil groupsselfdual codesSiegel \(\varPhi \)-operator

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (1)

Kneser-Hecke-operators in coding theory

Cites Work

• Kneser-Hecke-operators in coding theory
• On even codes
• Codes correcteurs d'erreurs autoorthogonaux sur le corps à deux éléments et formes quadratiques entières definies positives à discriminant +1
• Weil representations associated to finite fields
• Codes and Siegel modular forms
• Sur certains groupes d'opérateurs unitaires
• On Siegel modular forms of weigth 12
• Codes and invariant theory
• The invariants of the Clifford groups
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