{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 1 18 201 0 56 0 0 1 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 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 49 " " }{TEXT 256 29 " Help for the Liebasiselement" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 61 "CALLING SEQUENCE : dynkin[Liebasiselement _A](,);" }}{PARA 0 "" 0 "" {TEXT -1 42 "dynkin[Liebasisel ement_B](,);" }}{PARA 0 "" 0 "" {TEXT -1 42 "dynkin[Lieba siselement_C](,);" }}{PARA 0 "" 0 "" {TEXT -1 42 "dynkin[ Liebasiselement_D](,);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 94 "Here the rank is an integer 1, 2, ... an d the index is an integer 1, 2, ..., dim(Lie algebra)." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Example:" }}{PARA 0 "" 0 "" {TEXT -1 115 " One can list all the 8 basis matrices of A_2 and, if desired, create a list of all non-zero entries of each matrix:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "for i from 1 to 8 do\n X.i:=evalm(dynkin[Liebasiselem ent_A](2,i));\n dynkin[listofentries](X.i);\nod:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "2 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 }