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View Full Version : Universal enveloping algebras and diffeomorphism groups


Robin Wood
Sep9-04, 02:58 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>Given a finite dimensional Lie algebra L. Does the universal\nenveloping algebra U(L) always generate a diffeomorphism group on some\nhomogeneous manifold of L?\nFor example, U(so(3)) corresponds to the diffeomorphism group on the\nsphere S^2.\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Given a finite dimensional Lie algebra L. Does the universal
enveloping algebra U(L) always generate a diffeomorphism group on some
homogeneous manifold of L?
For example, U(so(3)) corresponds to the diffeomorphism group on the
sphere S^2.