Affine Lie Algebras, Weight Multiplicities and Branching by Sam Kass; R. V. Moody

By Sam Kass; R. V. Moody

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N - I 2H J29 " 113 113 201 " III III 201 -. n· 1- - -- 1---- 1 12 I 00 I 11 I I 1 I 0 I I wt 1: 1 I -1 0 I -7 we 2: Affine A3 - Level 3 - Class 0 I Rp 1 1 Rp 2 1 Rp 3 1 Rp 4 1 Rp 5 1 1-- - -- 1- ---- 1---- - 1----- 1----- 1 I 00 Wt I 10 11111 1 2 1 0 1 2 0 1: -21 lit 2: -21 Wt 3: Wt 4: W1; 5: 14 7 I 02 -H I 11 I 30 I 1 010 111 0 1 1 - 69 - 1 11 - 213 -69 -1 17 - 2 13 -n - 61 - 157 " " -5 - 101 Den _ 169 340 ~ P'" IV-30 MODULAR C IiARACTEIUSTICS Affine A3 - Level 4 - Class 0 IRp l lRp 21Rp 31Rp 4 1Rp SIRp 61Rp 11Rp 81Rp 91Rpl01 1---- 1---- 1---- 1----1---- 1----1---- 1----1----1----1 10010010110 2 10 4 1 101 12120 12 1 1 40 1 101 4 1210101111 1 210101 14 101112101 210 1 011101 -5 , Wt 2: -13 -S Wt I: W10 3: -1 we 4: , Wt 5: -5 Wt 7: , , Wt 8: II Wt 9: 15 Wtl D, 19 Wt 6: -13 , - 17 -S -13 -13 -11 -21 -29 -1 3 - 21 - 21 -25 -29 -37 -9 -13 -21 -17 -21 - 29 -9 -1 7 -9 -17 -5 -13 , , -5 , , , -13 -13 , , , , , , u " , Den· 16 , , Affine A3 - Level 4 - Class I I Rp 11 Rp 21 Rp 31 Rp 4 1 Rp 51 Rp 6 1 Rp 71 Rp 8 1 1-----1----- 1----- 1----- 1----- 1----- 1----- 1----- 1 I 00 I 01 I 03 I 10 I II I 12 I 20 I 31 I 131 1 1 1 1 0 12 1 0 1 1 1 0 1 1 1 1 2 101310111110 1 Wt 1 : -11 we 2: , W10 3: -83 W10 4: -u W10 5 : -u , Wt 6 : we 7 : Wt 8: " " Den.

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5302075 .... • 9358 4 70 •••• • ••••••••• 1631344 0 .... • 28107365 •••• , ••••••••• 4 7902010 .... . . . 80803 4 85 . . . . . ... 134992865 . . • •• .... . •.. • . 597049255 ••••••••• . ••••• 2461649861 ...... . . 389277 4 130 .... .. .. . •.. 9551122255 •••••••.... 14826771315 ...... ... 22886283845 . . . . . . 3513 4760670 ... .. .. . •••••••... 81529441675 . •..... 123280423945 . . .. 18553911 1 677 p~(41) PS( 4 2) Ps(43) PS( 4 4) ps(45) Ps( 4 6) PS(47) Ps (4 8) PS( 4 9) PS(50) PS(51) ps(52) PS(53) PS(5 4 ) P s (55) Ps (56) PS(57) Ps(58) PS(59) Ps(60) PS(61) PS(62) PS(63) Ps(6 4 ) PS(65) PS(66) Ps(67) PS(68) Ps (69) PS (70) P s (1) Ps(2) PS(3) Ps (74) Ps (5) 1'.

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