{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 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Nor mal" -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 50 " " }{TEXT 256 23 " Help for weight_system" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 63 "HELP for crystal[weight_system]\n\nFUNCTION : w eight_system(v,R);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 48 "CALLING SEQUENCE : crystal[weight_system](v,R);\n" }} {PARA 0 "" 0 "" {TEXT -1 143 "PARAMETERS :\nR is a string denoting a s imple Lie algebra from the list of strings A2,A3,...,B2,B3,...,C2,C3, ...,D2,D3,...,E6,E7,E8,F4 and G2. " }}{PARA 0 "" 0 "" {TEXT -1 132 "v \+ is a positive rational linear combination of e1,...,en, where n denote s the rank of R and the ei denote the standard basis for R.\n" }} {PARA 0 "" 0 "" {TEXT -1 10 "SYNOPSIS :" }}{PARA 0 "" 0 "" {TEXT -1 117 "This program will return the list of weights corresponding to the representation of R with highest weight v. However," }{TEXT 257 22 "c rystal[weight_system]" }{TEXT -1 274 " does not compute this list of w eights with multiplicity. Note that one can use the crystal package to construct the crystal graph of most representations by building up fr om the appropriate fundamental representations which generally have mu ltiplicity free weight systems.\n" }}{PARA 0 "" 0 "" {TEXT -1 55 "EXAM PLE : " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "crystal[weight_system](e1,A3);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 12 " SEE ALSO : " }{HYPERLNK 17 "cryst al[graphrep]" 2 "graphrep" "" }}}}{MARK "0 10 0" 7 }{VIEWOPTS 1 1 0 1 1 1803 }