1 /* Copyright (C) 2003 Valerij Pipin <pip@iszf.irk.ru>
3 * This program is free software; you can redistribute it and/or
4 * modify it under the terms of the GNU General Public License as
5 * published by the Free Software Foundation; either version 2 of
6 * the License, or (at your option) any later version.
8 * This program is distributed in the hope that it will be
9 * useful, but WITHOUT ANY WARRANTY; without even the implied
10 * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
11 * PURPOSE. See the GNU General Public License for more details.
13 * Proving Cartan's identities with ITENSOR.
16 if get('itensor,'version)=false then load(itensor);
17 (showtime:true,dummyx:z,allsym:false)$
18 decsym(a,2,0,[anti(all)],[]);
19 decsym(a,3,0,[anti(all)],[]);
20 decsym(a,4,0,[anti(all)],[]);
21 decsym(a,5,0,[anti(all)],[]);
22 canform(liediff(v,extdiff(a([i1,i2]),i3))-extdiff(liediff(v,a([i1,i2])),i3));
23 canform(liediff(v,extdiff(a([i1,i2,i3]),i4))-extdiff(liediff(v,a([i1,i2,i3])),i4));
24 canform(liediff(v,extdiff(a([i1,i2,i3,i4]),i5))-extdiff(liediff(v,a([i1,i2,i3,i4])),i5));
25 canform(liediff(v,extdiff(a([i1,i2,i3,i4,i5]),i6))-extdiff(liediff(v,a([i1,i2,i3,i4,i5])),i6));
27 /* End of demo -- comment line needed by MAXIMA to resume demo menu */