Thomas Larsson
Dec23-04, 05:44 AM
<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>Urs Schreiber wrote:\n\n>I think this is in general not the case (based on looking at the\n>nonabelian Stokes theorem on path space). One important point is that\n>while G takes values in an abelian subalgeba of H, it is acted on\n>nontrivially by the other (nonabelian) elements of H. But I haven\'t\n>worked this out in detail yet.\n\nSince\n\n[J^a, e^u] = T^ua_v e^v\n\nwe have\n\n[J^a, G] = [J^a, g_u e^u] = g_u T^ua_v e^v.\n\nOr did I miss something?\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"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>Urs Schreiber wrote:
>I think this is in general not the case (based on looking at the
>nonabelian Stokes theorem on path space). One important point is that
>while G takes values in an abelian subalgeba of H, it is acted on
>nontrivially by the other (nonabelian) elements of H. But I haven't
>worked this out in detail yet.
Since
[J^a, e^u] = T^{ua_v} e^v
we have
[J^a, G] = [J^a, g_u e^u] = g_u T^{ua_v} e^v.
Or did I miss something?
>I think this is in general not the case (based on looking at the
>nonabelian Stokes theorem on path space). One important point is that
>while G takes values in an abelian subalgeba of H, it is acted on
>nontrivially by the other (nonabelian) elements of H. But I haven't
>worked this out in detail yet.
Since
[J^a, e^u] = T^{ua_v} e^v
we have
[J^a, G] = [J^a, g_u e^u] = g_u T^{ua_v} e^v.
Or did I miss something?