A multiplicity one theorem for groups of type 𝐴_{𝑛} over discrete valuation rings

DOI10.1090/proc/15816OpenAlexW4220732973WikidataQ113822928 ScholiaQ113822928MaRDI QIDQ3390641

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Publication date: 25 March 2022

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

Full work available at URL: https://arxiv.org/abs/1809.08743

zbMATH Keywords

multiplicity oneWhittaker modelregular representationsGelfand-Graev model

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear algebraic groups over local fields and their integers (20G25)

Related Items (1)

Flags and orbits of connected reductive groups over local rings

Cites Work

• Branching rules for supercuspidal representations of \(\mathrm{SL}_2(k)\), for \(k\) a \(p\)-adic field
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings
• Regular elements and regular characters of \(GL_ n({\mathcal O})\)
• Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups
• Regular characters of classical groups over complete discrete valuation rings
• Representation growth of compact special linear groups of degree two
• Automorphic forms on GL (2)
• Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂
• A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings
• The regular representations of GLN over finite local principal ideal rings
• REPRESENTATIONS OF THE FULL LINEAR GROUP OVER A FINITE FIELD
• On cuspidal representations of general linear groups over discrete valuation rings
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