All formulas include misprints. In formulas (la) and (lb), all equal signs should be replaced by a multiplication sign (a star), In formulas (2), (3), (4) and (5), all but ...
E R R A T U M TO ' I N D I C I A L T E N S O R M A N I P U L A T I O N ON M A C S Y M A '
R I C H A R D A. BOGEN
and
RICHARD PAVELLE
L M P 2, 55-59 (1977)
All formulas include misprints. In formulas (la) and (lb), all equal signs should be replaced by a multiplication sign (a star), In formulas (2), (3), (4) and (5), all but the first equal signs should be replaced by a multiplication sign. The first parenthesis on the second line of (3) should be reversed. In formula (6), the last upper and lower indexes of R should be (respectively) i 2 m _ 1 i2m and J2m - 1 J2rn, and the following 0 should be 6. COVARIANT (g([i, j], [] ), E([i, j], [] ) + L *(2*H([i, j], [1 ) - E([i, ]], [] )*H([], [] ))) (la)
CONTRAVARIANT (g( [], [i, j] ), E( [], [i,/] ) - L *(2 *H([], [i, ]] ) - E( [1, [i, j] )* H([], [] ))) (lb) (2)
gq = Ei/ + L *(2*Hij - Eo *H). gq = Eq + 2 *L *(H*Eq - 2 *Hq) + 2 *L 2 *(H 2 *Eq - 4 *H*Itq + 4 *HiaH~) 8 + - *L3*(H 3 *El] - 6*HZ*Hq + 12*H*Hia*H ~ - 8 ,.HaHibH a), 3
(3)
gij = Eq - 2*m*LiLj,
(4)
gq = p ' E # ,
(5)
L(m)=Rili2
" i4 Ri2m-li2m. 111~ Rt3 J3J4"'" 12m
112m
~JlJ2...J2m zl t~...t2m "
(6)
(Received December 24, 1977)
Letters in Mathematical Physics 2 (1978) 255. All Rights Reserved. Copyright 9 1978 by D. Reidel Publishing Company, Dordrecht, Holland
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