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.

 

Translation for finite $W$-algebras
HTML articles powered by AMS MathViewer

by Simon M. Goodwin PDF
Represent. Theory 15 (2011), 307-346 Request permission

Abstract:

A finite $W$-algebra $U(\mathfrak {g},e)$ is a certain finitely generated algebra that can be viewed as the enveloping algebra of the Slodowy slice to the adjoint orbit of a nilpotent element $e$ of a complex reductive Lie algebra $\mathfrak {g}$. It is possible to give the tensor product of a $U(\mathfrak {g},e)$-module with a finite dimensional $U(\mathfrak {g})$-module the structure of a $U(\mathfrak {g},e)$-module; we refer to such tensor products as translations. In this paper, we present a number of fundamental properties of these translations, which are expected to be of importance in understanding the representation theory of $U(\mathfrak {g},e)$.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 17B10, 17B35
  • Retrieve articles in all journals with MSC (2010): 17B10, 17B35
Additional Information
  • Simon M. Goodwin
  • Affiliation: School of Mathematics, University of Birmingham, Birmingham, B15 2TT, United Kingdom
  • MR Author ID: 734259
  • Email: goodwin@for.mat.bham.ac.uk
  • Received by editor(s): September 22, 2009
  • Received by editor(s) in revised form: June 4, 2010
  • Published electronically: April 5, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 307-346
  • MSC (2010): Primary 17B10, 17B35
  • DOI: https://doi.org/10.1090/S1088-4165-2011-00388-5
  • MathSciNet review: 2788896