A reverse engineering approach to the Weil representation

• Autorzy: Anne-Marie Aubert , Tomasz Przebinda
• Języki publikacji: EN

Abstrakty

EN

We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.

Słowa kluczowe

EN

Weil representation; Oscillator representation; Metaplectic representation

Kategorie tematyczne

• 22E45: Representations of Lie and linear algebraic groups over real fields: analytic methods
• 22E46: Semisimple Lie groups and their representations
• 20C33: Representations of finite groups of Lie type

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 10
• Strony: 1500-1585

Daty

wydano

2014-10-01

online

2014-06-21

Twórcy

autor

Anne-Marie Aubert

• Université Pierre et Marie Curie

autor

Tomasz Przebinda

• University of Oklahoma

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0428-8