*On leave of absence from the University of Warsaw, Warsaw,. Poland. lB. Carter, Phys. Rev. 174, 1559 (1968); also, see I. Hauser and R.J. Malhiot, J. Math.
Erratum: Higher indices of group representations J. Patera, R. T. Sharp, and P. Winternitz Citation: J. Math. Phys. 18, 1519 (1977); doi: 10.1063/1.523416 View online: http://dx.doi.org/10.1063/1.523416 View Table of Contents: http://jmp.aip.org/resource/1/JMAPAQ/v18/i7 Published by the AIP Publishing LLC.
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'P C£
(t-+i;q) 5~mo + +(e~ +~) (/+~:q)] , ino)
(3.14b)
again in the notation of Ref. 160 The above analysis is also valid in a complex V4 • where JAB is not necessarily the complex conjugate of JAB; notice that in no moment have we assumed anything about JAB' except that it satisfies Maxwell equations. ACKNOWLEDGMENTS
The interest of Professor F J gratefully acknowledged o 0
0
Ernst in this work is
*On leave of absence from the University of Warsaw, Warsaw, Poland. lB. Carter, Phys. Rev. 174, 1559 (1968); also, see I. Hauser and R.J. Malhiot, J. Math. Phys. 15, 816 (1974); 17, 1306 (1976) for a detailed s1lldy of rank two Killing tensors. 2M. Walker and R. Penrose, Commun. Math. Phys. 18, 265 (1970). 3L.P. Hughston, R. Penrose, P. Sommers, and M. Walker, Commun. Math. Phys. 27, 303 (1972).
4S. Hacyan and J.F. Plebarlski, J. Math. Phys. 17, 2203 (1976). 5E. T. Newman in Tel Aviv GR7 Lecture (1974). SR. Penrose, "The Nonlinear Graviton," First Award Gravity Research Foundation (1975). 7J. F. Plebanski, J. Math. Phys. 16, 2395 0.975). 8J. F. Plebanski and T. Robinson, Phys. Rev. Lett. 37, 493 (1976);A. Garci'a, J.F. Plebarlski, and!. Robinson, "Null Strings and Complex Einstein-Maxwell Fields with A," Nuovo Cimento(tobepublished); J.D. Finley, III and J.F. Plebarlski, J. Math. Phys. 17, 2207 (1976). 9F.J. Ernst and J. F. Plebanski, "Killing Structures and Complex [-Potentials," Ann. Phys. (to be published). loF.J. Ernst, Phys. Rev. 168, 1415 (1968). I1F.J. Ernst, J. Math. Phys. 15, 1409 (1974). 12W. Kinnersley, J. Math. Phys. 14, 651 (1973); also, see F. P. Esposito and L. Witten, preprint, University of Cincinnati. 13A. Tomimatsu and H. Sato, Progr. Theor. Phys. 50, 95 (1973); also, see M. Yamazaki, preprint, Kanasawa University. 14Equation (3.l0b) of Ref. 4, which corresponds to Eq. 0..2b) of this paper, is valid for Hermitian KAl only (i.e., a real vector K",); this was not mentioned explicitly in Ref. 4. 15P.Sommers, thesis, The University of Texas at Austin (1973). 16J. F. Plebarlski, Ann. New York Acad. Sci. 262, 246 (1975).
ERRATA
Erratum: Higher indices of group representations [J. Math. Phys. 17, 1972 (1976)j J. Patera, A. T. Sharp, and P. Winternitz Centre de recherches mathematiques, Universite de Montreal, Montreal, Quebec, Canada (Received 29 March 1977)
In formula (51) please insert ]-1 after the factor + 3); in (52) please replace I e:{-ll by I e:7- J I. Insert [ after N~ in (62) and] after the entire formula; the denominator of the last term in (62) should be n(2n _ 1)2. The factor lin in the second line of (72) should be l/n 2 • (2n
All numerical calculations in the article were performed using correct formulas and are valid. We thank W. McKay for having performed these calculations and for calling to our attention the errors in the published formulas.
CUMULATIVE AUTHOR INDEX All authors published so far in the current volume are listed alphabetically with the issue and page numbers following the dash. A cumulative author and subject index covering each volume is published annually. An (E) after the page number indicates an Erratum.
Absar.I.-(2) 329, 335 Actor, Alfred-(7) 1429 Agrawal, G.P.-(3) 408 Ahner, Henry F.-(7) 1367 Albeverio, Sergio-( 5) 907 Ali, S. Twareque-(2) 219 Antippa, Adel F.-(I) 173 Arms, Judith M.-(4) 830 Arrowsmith. 0.K.-(2) 235 Asgekar, G.G.-(4) 738 Avron, J.E.-(5) 918
1519
Backhouse, Nigel B.-(2) 239 Badea, M.-(4) 648 Badralexe, E.-(4) 648 Baierlein, Ralph-(7) 1330 Baker, George A., Jr.-(4) 590 Baltes, H.P.-(6) 1275 Banerjee, A.-(2) 265 Bargmann, V.-(6) 1141 Barston, E.M.-(4) 750 Barucchi, G.-(6) 1149 B.su, Oebabr.t.-(4) 743
Journal of Mathematical Physics. Vol. 18, No.7, July 1977
Baumann, Klaus-{I) 171 Baumgarten, 0.-(2) 267 Beckers, J .-(1) 72 Berezdivin, R.-(3) 418 Birman, Joseph L.-(7) 1456, 1459 Bleislein, Norman-(2) 194 Boersma, J .-(2) 321 Bohm, A.-(7) 1434 Bolle, 0.-(3) 432 Bongaarts, P.J.M.-(7) 1510 Bowden, R.L.-(2) 281
Boyer, Charles P.-(5) 1022, 1032 Brans, Carl H.-(7) 1378 Braunss, G.-(2) 267 Bricmont, J.-(1) 37 Buchholz, OetIev-(5) 1107 Buhring, Wolfg.ng-( 5) 1121 Bumiston, E.E.-(3) 376 Cameron, W.L.-(2) 281 Carey, A.L.-(4) 629 Chacon, E.-(5) 870
Copyright © 1977 American Institute of Physics
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