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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 44 "                                            " }{TEXT 256 28 " H
elp for the dynkin package" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 
"" 0 "" {TEXT -1 52 "CALLING SEQUENCE : dynkin[<function>](<parameters
>);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 19 " T
his package will " }}{PARA 0 "" 0 "" {TEXT -1 52 "(a) plot Dynkin diag
rams of any simple Lie algebra, " }}{PARA 0 "" 0 "" {TEXT -1 123 "(b) \+
plot extended Dynkin diagrams of any simple Lie algebra (labeled as in
 Bourbaki's Groupes et algebres de Lie, Ch 4-6), " }}{PARA 0 "" 0 "" 
{TEXT -1 149 "(c) plot crystal graphs and weight systems of irreducibl
e finite dimensional representations of simple Lie algebras of ranks 2
 and 3 in weight space," }}{PARA 0 "" 0 "" {TEXT -1 87 "(d)  create th
e basis matrices and structure constants for the classical Lie algebra
s. " }}{PARA 0 "" 0 "" {TEXT -1 22 "This package uses the " }{TEXT 
263 13 "plots, linalg" }{TEXT -1 42 " packages and the MAPLE shareware
 package " }{TEXT 258 7 "coxeter" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" 
{TEXT -1 52 "   This worksheet discusses instructions on loading " }
{TEXT 257 6 "dynkin" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "with(sh
are);\nreadshare(coxeter,algebra);\nwith(plots):" }}{PARA 6 "" 1 "" 
{TEXT -1 70 "See ?share and ?share,contents for information about the \+
share library" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7\"" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#%(coxeterG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "N
ext, read in " }{TEXT 260 6 "dynkin" }{TEXT -1 7 " using " }{TEXT 261 
23 "read(`...\\dynkin.mpl`);" }{TEXT -1 8 " (where " }{TEXT 259 3 "...
" }{TEXT -1 64 " indicates the path your machine is using), and then i
nitialize " }{TEXT 262 6 "dynkin" }{TEXT -1 11 " by typing:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "init_dynkin();" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 48 "Help is available for the following funct
ions:\n\n" }}{PARA 0 "" 0 "" {TEXT -1 33 "                            \+
     " }{HYPERLNK 17 "plot2d_wts   " 2 "dynkin[plot2d_wts]   " "" }
{TEXT -1 6 "      " }{HYPERLNK 17 "ex_dynkin_diagram" 2 "dynkin[ex_dyn
kin_diagram]" "" }{TEXT -1 18 "                  " }{HYPERLNK 17 "plot
3d_wts" 2 "plot3d_wts" "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 22 "                      " }{HYPERLNK 17 " plot3d_wei
ghts " 2 "plot3d_weights " "" }{TEXT -1 9 "         " }{HYPERLNK 17 "p
lot3d_highest_weights" 2 "plot3d_highest_weights" "" }{TEXT -1 7 "    \+
   " }{HYPERLNK 17 "dynkin_diagram" 2 "dynkin_diagram" "" }}{PARA 0 "
" 0 "" {TEXT -1 3 "   " }}{PARA 0 "" 0 "" {TEXT -1 33 "               \+
                  " }{HYPERLNK 17 "plot2d_weights" 2 "plot2d_weights" 
"" }{TEXT -1 11 "           " }{HYPERLNK 17 "plot2d_highest_weights" 
2 "plot2d_highest_weights" "" }{TEXT -1 5 "     " }}{PARA 0 "" 0 "" 
{TEXT -1 2 "  " }}{PARA 0 "" 0 "" {TEXT -1 41 "                       \+
                  " }{HYPERLNK 17 "structure constants" 2 "structure" 
"" }{TEXT -1 24 "                        " }{HYPERLNK 17 "Liebasiselem
ent" 2 "Liebasiselement" "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK 
"5 7 0" 31 }{VIEWOPTS 1 1 0 1 1 1803 }