{VERSION 2 2 "IBM INTEL NT" "2.2" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier New" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 256 "" 1 18 201 0 56 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "System" 0 1 0 0 222 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 258 "" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "System" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 263 "System" 0 1 205 1 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 264 "System" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "Sy stem" 1 12 201 0 56 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "System" 0 1 205 1 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "System" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "System" 0 1 0 0 168 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "System" 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 270 "System" 0 1 0 0 112 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 271 "System" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 55 " " } {TEXT 256 18 " Help for plot_wts" }}{PARA 0 "" 0 "" {TEXT -1 77 " \+ (not to be confused wit h " }{TEXT 271 12 "plot_weights" }{TEXT -1 2 "!)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 11 "FUNCTION : " }{TEXT 258 10 "plot2d_wts" }{TEXT -1 7 "(v,R); " }}{PARA 0 "" 0 "" {TEXT 259 10 " plot3d_wts" }{TEXT -1 9 "(v,R); \n" }}{PARA 0 "" 0 "" {TEXT -1 26 "CA LLING SEQUENCE : dynkin[" }{TEXT 260 10 "plot2d_wts" }{TEXT -1 14 "](R ); \ndynkin[" }{TEXT 261 10 "plot3d_wts" }{TEXT -1 7 "](R); \n" }} {PARA 0 "" 0 "" {TEXT -1 12 "PARAMETERS :" }}{PARA 0 "" 0 "" {TEXT -1 80 "v is a list denoting a highest weight of R\nR is a string denoting a rank 2 (for " }{TEXT 269 6 "dynkin" }{TEXT 263 1 "[" }{TEXT 262 10 "plot2d_wts" }{TEXT 264 1 "]" }{TEXT -1 17 ") or rank 3 (for " }{TEXT 270 6 "dynkin" }{TEXT 266 1 "[" }{TEXT 265 10 "plot3d_wts" }{TEXT 267 1 "]" }{TEXT -1 79 ") simple Lie algebra from the list of strings A2,A 3,B2,B3,C2,C3,D2,D3, and G2. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 182 "SYNOPSIS : \nThis program plots the crys tal graph (whose vertices are labeled by weight vectors) of the irredu cible representation of R associated to v in the weight space of R usi ng " }{TEXT 268 22 "crystal[weight_system]" }{TEXT -1 49 " and titles \+ the plot with the dimension given by " }{TEXT 257 14 "weyl[weyl_dim]" }{TEXT -1 9 ". \n" }}{PARA 0 "" 0 "" {TEXT -1 10 "EXAMPLES :" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "w:=weyl[weights](A3);\ndynk in[plot3d_wts](-w[1],A3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "w:=weyl[weights](G2);\ndynkin[plot2d_wts](-w[1],G2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 " SEE ALSO : " }{HYPERLNK 17 "crystal[weig ht_system]" 2 "crystal[weight_system]" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "weyl[weyl_dim]" 2 "weyl[weyl_dim]" "" }{HYPERLNK 17 "" 2 "graphrep " "" }{HYPERLNK 17 "" 2 "weight_system" "" }{HYPERLNK 17 "" 2 "graphpr odrep" "" }}}}{MARK "0 6 4" 1 }{VIEWOPTS 1 1 0 1 1 1803 }