A triangular system for local character expansions of Iwahori-spherical representations of general linear groups

DOI10.5802/crmath.384OpenAlexW4315701782MaRDI QIDQ2681058

Maxim Gurevich

Publication date: 10 February 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01146

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Cites Work

• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• Sur les germes de Shalika pour les groupes linéaires. (On the Shalika germs for the linear groups)
• Representations of finite classical groups. A Hopf algebra approach
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Iwahori component of the Gelfand-Graev representation
• A note on degenerate Whittaker models for general linear groups
• The Fourier transform and germs of characters (case of Gl\(_n\) over a \(p\)- adic field)
• The Weyr Characteristic
• Representations of Reductive p -Adic Groups: Localization of Hecke Algebras and Applications
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Local character expansions
• Local character expansions of admissible representations of p-adic general linear groups
• Models of Representations and Langlands Functoriality
• Generalized and degenerate Whittaker quotients and Fourier coefficients
• Representations of Finite Groups of Lie Type
• Generalized and degenerate Whittaker models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item