Skip to Main Content

Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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.

 

Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups
HTML articles powered by AMS MathViewer

by Monica Nevins PDF
Represent. Theory 3 (1999), 105-126 Request permission

Abstract:

The orbit method conjectures a close relationship between the set of irreducible unitary representations of a Lie group $G$, and admissible coadjoint orbits in the dual of the Lie algebra. We define admissibility for nilpotent coadjoint orbits of $p$-adic reductive Lie groups, and compute the set of admissible orbits for a range of examples. We find that for unitary, symplectic, orthogonal, general linear and special linear groups over $p$-adic fields, the admissible nilpotent orbits coincide with the so-called special orbits defined by Lusztig and Spaltenstein in connection with the Springer correspondence.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (1991): 20G25, 22E50
  • Retrieve articles in all journals with MSC (1991): 20G25, 22E50
Additional Information
  • Monica Nevins
  • Affiliation: Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G1, Canada
  • Email: mnevins@alum.mit.edu
  • Received by editor(s): December 7, 1998
  • Received by editor(s) in revised form: February 2, 1999
  • Published electronically: June 22, 1999
  • Additional Notes: Ph.D. research supported by a teaching assistantship in the Department of Mathematics at MIT, and by an ‘NSERC 1967’ Scholarship from the Natural Sciences and Engineering Research Council of Canada. Postdoctoral research supported by the Killam Trust
  • © Copyright 1999 American Mathematical Society
  • Journal: Represent. Theory 3 (1999), 105-126
  • MSC (1991): Primary 20G25; Secondary 22E50
  • DOI: https://doi.org/10.1090/S1088-4165-99-00072-2
  • MathSciNet review: 1698202