From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4818 Path: news.gmane.org!not-for-mail From: Johannes Huebschmann Newsgroups: gmane.science.mathematics.categories Subject: Lie algebras and failure of PBW Date: Wed, 6 May 2009 22:33:04 +0200 (CEST) Message-ID: Reply-To: Johannes Huebschmann NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed X-Trace: ger.gmane.org 1241657390 23579 80.91.229.12 (7 May 2009 00:49:50 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Thu, 7 May 2009 00:49:50 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Thu May 07 02:49:40 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1M1rnw-0002r1-5Y for gsmc-categories@m.gmane.org; Thu, 07 May 2009 02:49:40 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1M1r6X-00049d-AG for categories-list@mta.ca; Wed, 06 May 2009 21:04:49 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:4818 Archived-At: Dear Friends and Colleagues On p. 331 of Magnus-Karras-Solitar, Combinatorial group theory there is a hint at an unpublished manuscript of R. Lyndon [1955] containing an example of a Lie algebra over an integral domain for which the statement of the PBW theorem is not true. I did not find this example in the literature not did I find any other hint at it. Does anybody know anything about it? Many thanks in advance Johannes