Skip to Main Content

Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Semisimple characters for inner forms II: Quaternionic forms of $p$-adic classical groups ($p$ odd)
HTML articles powered by AMS MathViewer

by Daniel Skodlerack PDF
Represent. Theory 24 (2020), 323-359 Request permission


In this article we consider the set $G$ of rational points of a quaternionic form of a symplectic or an orthogonal group defined over a non-Archimedean local field of odd residue characteristic. We construct all full self-dual semisimple characters for $G$ and we classify their intertwining classes using endo-parameters. We compute the set of intertwiners between self-dual semisimple characters, and prove an intertwining and conjugacy theorem. Finally we count all $G$-intertwining classes of full self-dual semisimple characters which lift to the same $\tilde {G}$-intertwining class of a full semisimple character for the ambient general linear group $\tilde {G}$ for $G$.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 11E57, 11E95, 20G05, 22E50
  • Retrieve articles in all journals with MSC (2010): 11E57, 11E95, 20G05, 22E50
Additional Information
  • Daniel Skodlerack
  • Affiliation: Institute of Mathematical Sciences, ShanghaiTech University, 393 Huaxia Middle Road, Pudong, People’s Republic of China, 201210
  • MR Author ID: 1033529
  • Email:
  • Received by editor(s): August 16, 2018
  • Received by editor(s) in revised form: January 26, 2020
  • Published electronically: July 29, 2020
  • © Copyright 2020 American Mathematical Society
  • Journal: Represent. Theory 24 (2020), 323-359
  • MSC (2010): Primary 11E57, 11E95, 20G05, 22E50
  • DOI:
  • MathSciNet review: 4128451