This archive is a companion to the paper
"Adjoint and Trivial cohomology of nonabelian nilpotent complex Lie algebras
of dimension <=7."
It contains the commutation relations file of the Lie algebras in the directories
5nilp, 6nilp, 7nilps1,7nilps2,7nilps3,7nilps4,7nilpdirectproducts, and the
programs (and the macros for latexing in the directory xmac).
The programs are in direct access here as well:
EXAMPLE 1: the program geneLplus2007.red is applied to the Lie algebra 1.2(iL) with continuous
parameter L and with POIDS=0.
Commutation relations file of the algebra
g1.2(iL)
The program geneLplus2007.red with suitable entries
its output file
If one wants to Latex it, some editing work has to be done as indicated in the preamble of the program.
The same after deleting lines REP1-REP2, REP3-REP4, REP44-REP5, REFINAL1-REPFINAL2
Then apply the macros in
the macro file
plusmac.x
for geneLplus2007.red
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 2: the program geneLplus2007.red is applied to the Lie algebra 1.2(iL) with continuous
parameter L and with POIDS=1.
The program geneLplus2007.red with suitable entries
its output file
If one wants to Latex it, some editing work has to be done as indicated in the preamble of the program.
The same after deleting lines REP1-REP2, REP3-REP4, REP44-REP5, REFINAL1-REPFINAL2
See: There is a linebreak problem at lines 246/247 and 426/427.
linebreak problem's fixed.
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 3: the program ncl2007.red is applied to the Lie algebra 1.2(iL) with continuous
parameter L.
the output file
If one wants to Latex it, some editing work has to be done as indicated in the preamble of the program.
The same after deleting all lines until the mark REPTEX
Then apply the macros in
the macro file
nclmac.x
for ncl2007.red
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 4: the program ncl2007.red is applied to the Lie algebra 1.2(iL) with
the value L:=-(-1+i*sqrt(3))/2.
The program ncl2007.red with suitable entries
the output file
If one wants to Latex it, some editing work has to be done as indicated in the preamble of the program.
The same after deleting all lines until the mark REPTEX
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 5: the program ncld2007.red is applied to the Lie algebra 1.2(iL) with continuous
parameter L, and DUALITE_DE_POINCARE=OUI
the output file
If one wants to Latex it, some editing work has to be done as indicated in the preamble of the program.
The same after deleting all lines until the mark REPTEX
Then apply the macros in
the same macro file
nclmac.x
as for ncl2007.red
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 6: the program ncld2007.red is applied to the Lie algebra 1.2(iL) with continuous
parameter L, and DUALITE_DE_POINCARE=NON
the output file
The same after deleting all lines until the mark REPTEX
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 7: the program nclhar2007.red is applied to the Lie algebra 1.2(iL) with
continuous parameter L, PARAMETRE_L=OUI, and DUALITE_DE_POINCARE=OUI.
the output file
The same after deleting all lines until the mark REPTEX
Then apply the macros in
the macro file
nclharmac.x
for nclhar2007.red
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 8: the program nclhar2007.red is applied to the Lie algebra 1.2(iL) with
continuous parameter L, PARAMETRE_L=OUI, and DUALITE_DE_POINCARE=NON.
the output file
The same after deleting all lines until the mark REPTEX
Then apply the macros in
the macro file
nclharmac.x
for nclhar2007.red
what we get after applying the macros
Then Latex it: we get
.ps file
EXAMPLE 9: the program nclhar2007.red is applied to the Lie algebra 1.2(iL) with
the value L:=-(-1+i*sqrt(3))/2, PARAMETRE_L=NON, and DUALITE_DE_POINCARE=OUI.
the output file
The same after deleting all lines until the mark REPTEX
Then apply the macros in
the macro file
nclharmac.x
for nclhar2007.red
what we get after applying the macros
Then Latex it: we get
.ps file