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.

 

$\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, IV
HTML articles powered by AMS MathViewer

by George Lusztig and Zhiwei Yun PDF
Represent. Theory 24 (2020), 360-396 Request permission

Abstract:

Let $G$ be a reductive group over $\mathbf {C}$. Assume that the Lie algebra $\frak g$ of $G$ has a given grading $(\frak g_j)$ indexed by a cyclic group $\mathbf {Z}/m$ such that $\frak g_0$ contains a Cartan subalgebra of $\frak g$. The subgroup $G_0$ of $G$ corresponding to $\frak g_0$ acts on the variety of nilpotent elements in $\frak g_1$ with finitely many orbits. We are interested in computing the local intersection cohomology of closures of these orbits with coefficients in irreducible $G_0$-equivariant local systems in the case of the principal block. We show that these can be computed by a purely combinatorial algorithm.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 22E60
  • Retrieve articles in all journals with MSC (2010): 22E60
Additional Information
  • George Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email: gyuri@mit.edu
  • Zhiwei Yun
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 862829
  • Email: zyun@mit.edu
  • Received by editor(s): August 1, 2019
  • Received by editor(s) in revised form: June 24, 2020
  • Published electronically: August 26, 2020
  • Additional Notes: The first author was supported in part by NSF grant DMS-1855773.
    The second author was supported in part by the Packard Foundation.
  • © Copyright 2020 American Mathematical Society
  • Journal: Represent. Theory 24 (2020), 360-396
  • MSC (2010): Primary 22E60
  • DOI: https://doi.org/10.1090/ert/546
  • MathSciNet review: 4139898