Corrections to: “On the equivariant K-theory of the nilpotent cone in the general linear group”
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- by Pramod N. Achar PDF
- Represent. Theory 20 (2016), 414-418 Request permission
Abstract:
In the paper [P. Achar, On the equivariant $K$-theory of the nilpotent cone in the general linear group, Represent. Theory 8 (2004), 180–211], the author gave a combinatorial algorithm for computing the Lusztig–Vogan bijection for $GL(n,\mathbb {C})$. However, that paper failed to mention one easy case that may sometimes arise, making the description of the algorithm incomplete. This note fills in that gap.References
- Pramod Narahari Achar, Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups, ProQuest LLC, Ann Arbor, MI, 2001. Thesis (Ph.D.)–Massachusetts Institute of Technology. MR 2717009
- Pramod N. Achar, On the equivariant $K$-theory of the nilpotent cone in the general linear group, Represent. Theory 8 (2004), 180–211. MR 2058726, DOI 10.1090/S1088-4165-04-00243-2
- P. N. Achar, The Lusztig–Vogan bijection for $GL_n$, software available for download from http://www.math.lsu.edu/$^\sim$pramod/, 2004.
Additional Information
- Pramod N. Achar
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- MR Author ID: 701892
- Email: pramod@math.lsu.edu
- Received by editor(s): February 8, 2016
- Published electronically: October 19, 2016
- Additional Notes: The author was partially supported by NSF Grant No. DMS-1500890.
- © Copyright 2016 American Mathematical Society
- Journal: Represent. Theory 20 (2016), 414-418
- MSC (2010): Primary 22E46; Secondary 19A49
- DOI: https://doi.org/10.1090/ert/488
- MathSciNet review: 3561673