A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebrasReport as inadecuate




A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebras - Download this document for free, or read online. Document in PDF available to download.

Reference: Pierre-Emmanuel Caprace, (2007). A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebras. Journal of Algebra, 317 (2), 867-876.Citable link to this page:

 

A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebras

Abstract: Let g be a Kac–Moody algebra and b1,b2 be Borel subalgebras of opposite signs. The intersection b=b1∩b2 is a finite-dimensional solvable subalgebra of g. We show that the nilpotency degree of [b,b] is bounded above by a constant depending only on g. This confirms a conjecture of Y. Billig and A. Pianzola [Y. Billig, A. Pianzola, Root strings with two consecutive real roots, Tohoku Math. J. (2) 47 (3) (1995) 391–403].

Publication status:PublishedPeer Review status:Peer reviewedVersion:Publisher's versionNotes:Copyright 2007 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Bibliographic Details

Publisher: Elsevier Inc.

Publisher Website: http://www.elsevier.com/

Host: Journal of Algebrasee more from them

Publication Website: http://www.sciencedirect.com/science/journal/00218693

Issue Date: 2007-November

Copyright Date: 2007

pages:867-876Identifiers

Doi: https://doi.org/10.1016/j.jalgebra.2007.04.002

Issn: 0021-8693

Urn: uuid:a918774f-d65f-4066-b736-3bf1642b1c10 Item Description

Type: Article: post-print;

Language: en

Version: Publisher's versionSubjects: Mathematics Tiny URL: ora:8587

Relationships





Author: Pierre-Emmanuel Caprace - institutionUniversity of Oxford facultyMathematical,Physical and Life Sciences Division - Mathematical

Source: https://ora.ox.ac.uk/objects/uuid:a918774f-d65f-4066-b736-3bf1642b1c10



DOWNLOAD PDF




Related documents