ࡱ> Root Entry9O;FileHeaderPDocInfo?+BodyText K;0K; !"#$%&'()Root Entry9O;FileHeaderPDocInfo?+BodyText K;0K;  ] ȩ : Rigid tableaux Ŭ : $8 [tTŐYP Y] | : 11 18|(|) $ 5:00-6:00 nj :  6218 In this talk, I will introduce the notion of rigid tableaux. We define the properties of a rigid tableau by representation theory of highest weight modules of affine Kac-Moody algebras. More precisely, to compute dimension formulas of maximal dominant weight spaces of highest weight modules, we have to define such family of tableaux. We prove that special families of rigid tableaux of certain shape are equinumerous to the number of lattices paths, generalized Motzkin paths and the dimension formulas of maximal dominant weight spaces of highest weight modules simultaneously. In this talk, I will focus on its combinatorial aspects mainly. This talk is based on the work with Jang Soo Kim and Kyu-Hwan Lee. GIF89aɻxxxkkk]]]PPPCCC555((( d`LH00`Hذ̘`H0|pdXL@`0H `H0`dHL`H0xp`XH@0d LȰ``HH00dLؘȀ`H0xp`XH@d0L `H0d`LH`H0|pdXL@0`$H`dHL00`HذȘdL0xp`XH@0` HdH0ȳ``HHdL0xp`XH@`0H Ը̰ĠऀؘpȈXxHp@h@d8`8X0xT0pH dxddxd`d`p`|``x`p``x`!, H*\ȰÇ#JHŋ3jȱǏ CIɓ(S\ɲ˗0cʜI͛8sɳϟ@ JѣH*]ʴӧPJJիXjʵׯ`ÊKٳhӪ]˶۷=3DW\tΔkܺv/+^̸ǐ#K@˔Y"fϝ\=%O6M:sDΡ=M5k֫m~8灧w B/D^0A ѕ%IFyS0Ϭ֦c`k^^uOqƙ4K]5pvl$R>; 6k1N'i^c6Rߤ5B}8b_8mr&j}k^/o'7G/Wogw/o觯/o HL:'H Z̠7z GH(^@;`a``a`0x  |  ]ajou2014D 9 22| Ɣ| $ 1:29:43ajou-8, 5, 8, 1532 WIN32LEWindows_Unknown_Version@P'@0K;@kPǿZ+֢ M hz-+(?'Tz(j\w~BDYNcCl+虀HT&|`-4yUĶCi-h4"5ֺPNL{Xj%;:eH-9(M ZR{j27z6}yi} _~Eo`] :}.8ж]|B9nb%Mؑ[?w[byks$3Nst"+9vKBHګ+tboDFLr=fL qTN'E'>4$W ̨!IoG Ih1"Fd=I? XxE%g(fH'nMj^&H=kOxj}3}<풿kQ?nWxE v1?\DE NbBg!VmD 3(6Vi ?Xtvo[8yf0,{)?`&lUGʢZUu?VT39hLؗ!$Hh *oP/ǃ#TF=QI^@. *qfJ1wk'9,짷Eh]|ޏw\[wWϝJXg=Veop*vaZկS;9ré>ϖ-gF_~KoߵЯ^HWP Document Fileu@DO 6C,H,#GB!k0~ 6*7=M*Z:ҙ#?*?ӿT@Y~X+mj3'm[v|:j)%C$Mϼ5#cd߈based on the work with Jang Soo Kim and Kyu-Hwan Lee. с ^;uod4d4w#с '^ 4 {:4t44tP< 0K;4 ͘Ku42)Lut( Q >)Lu,4AJu( ( Ju^ ^ 0K; H4{Ku^ ͘KuX)Ju= `Ku욈P#ɰKut= Ku` T^ }hxH`44.TT4`44T^ K 욈Section04h46TVOle3;+?""Ƥ+ 1*i@ilvw6A!8zƤŋTABġG8z {ߛ2K<9}~f*qդ$7k?yFfno}q7;ˮipO׾gk84";:]n腵pepw։YG6s;531,$Cj;4ITgd8kӣ֝GXovJp|z|iѯP@Qg.&8"Qb{i ;4ō˺`ei`YvwR~rʗu̝wi3w.Dfs"ZH_ld"mDY߽nU~bexeu+o:~'\6!;t#iBـt5t"OZ3;B#ڿcxsH/gaѥ|\0  bY tnYS Rl59 4JbDhSs@ABCDEFGHIJKLMNOQRSUVYZ[\]^_`bcdefghijklmnopq