On regular subalgebras of Kac-Moody algebras and their associated invariant forms Symmetrizable case

Satoshi NAITO

doi:10.2969/jmsj/04420157

On regular subalgebras of Kac-Moody algebras and their associated invariant forms

Symmetrizable case

Satoshi NAITO

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JOURNAL FREE ACCESS

1992 Volume 44 Issue 2 Pages 157-177

DOI https://doi.org/10.2969/jmsj/04420157

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Published: 1992 Received: January 17, 1991 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics aculty of Science Kyoto University

Right :
1) Department of Mathematics Faculty of Science Kyoto University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Borcherds, Generalized Kac-Moody algebras, J. Algebra, 115 (1988), 501-512.
2) N. Bourbaki, Algèbre, Chapitre 9, Hermann, Paris, 1959.
3) E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transl., 6 (1957), 111-244.
4) V. G. Kac, Infinite dimensional Lie algebras (3rd edition), Cambridge University Press, Cambridge, 1990.
5) I. G. Macdonald, Kac-Moody algebras, Can. Math. Soc. Conference Proc., 5 (1986), 69-109.
6) R. V. Moody, Polynomial invariants of isometry groups of indefinite quadratic lattices, Tohoku Math. J., 30 (1978), 525-535.
7) R. V. Moody and A. Pianzola, On infinite root systems, Trans. Amer. Math. Soc., 315 (1989), 661-696.
8) J. Morita, Certain rank two subsystems of Kac-Moody root systems, in Infinite dimensional Lie algebras and groups, Proc. of the conference at CIRM, Luminy, Marseille, 1988.

Right : [1] R. Borcherds, Generalized Kac-Moody algebras, J. Algebra, 115 (1988), 501-512.
[2] N. Bourbaki, Algèbre, Chapitre 9, Hermann, Paris, 1959.
[3] E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transl., 6 (1957), 111-244.
[4] V. G. Kac, Infinite dimensional Lie algebras (3rd edition), Cambridge University Press, Cambridge, 1990.
[5] I. G. Macdonald, Kac-Moody algebras, Can. Math. Soc. Conference Proc., 5 (1986), 69-109.
[6] R. V. Moody, Polynomial invariants of isometry groups of indefinite quadratic lattices, Tôhoku Math. J., 30 (1978), 525-535.
[7] R. V. Moody and A. Pianzola, On infinite root systems, Trans. Amer. Math. Soc., 315 (1989), 661-696.
[8] J. Morita, Certain rank two subsystems of Kac-Moody root systems, in Infinite dimensional Lie algebras and groups, Proc. of the conference at CIRM, Luminy, Marseille, 1988.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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