Clifford theory of Weil representations of unitary groups

DOI10.1515/jgth-2018-0151OpenAlexW2963499764WikidataQ127637452 ScholiaQ127637452MaRDI QIDQ2338104

Moumita Shau, Fernando Szechtman

Publication date: 20 November 2019

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

Full work available at URL: https://arxiv.org/abs/1805.01857

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Cites Work

• Weil representations associated to finite fields
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Generators and relations for the unitary group of a skew Hermitian form over a local ring
• Even unimodular lattices associated with the Weil representation of the finite symplectic group
• Clifford and Mackey theory for Weil representations of symplectic groups.
• Hermitian and skew Hermitian forms over local rings
• The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring.
• Sur certains groupes d'opérateurs unitaires
• Weil Representations of Symplectic Groups Over Rings
• Unitary groups and ramified extensions
• A Family of Complex Irreducible Characters Possessed by Unitary and Special Unitary Groups Defined over Local Rings
• Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length
• UNITARY GROUPS OVER LOCAL RINGS
• The character of the Weil representation
• On the Character of Weil's Representation

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