Groups associated with unitary forms of Kac-Moody algebras

Kiyokazu SUTO

doi:10.2969/jmsj/04010085

Kiyokazu SUTO

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ジャーナルフリー

1988 年 40 巻 1 号 p. 85-104

DOI https://doi.org/10.2969/jmsj/04010085

詳細

Published: 1988 Received: 1986/09/10 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. P. Cartier, Démonstration algébrique de la formule de Hausdorff, Bull. Soc. Math. France, 84 (1956), 241-249.
2) O. Gabber and V. G. Kac, On defining relations of certain infinite-dimensional Lie algebras, Bull. Amer. Math. Soc., 5 (1981), 185-189.
3) H. Garland, The arithmetic theory of loop groups, Publ. Math. IHES, 52 (1980), 5-136.
4) V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR, Ser. Mat. Tom 32 (1968), 1923-1967. English translation: Math. USSR-Izvestija, 2 (1968), 1271-1311.
5) V. G. Kac, Infinite dimensional Lie algebras, Birkhäuser, Boston, 1983.
6) V. G. Kac and D. H. Peterson, Unitary structure in representations of infinite-dimensional groups and a convexity theorem, Invent. Math., 76 (1984), 1-14.
7) O. Mathieu, Sur la construction de groupes associés aux algèbres de Kac-Moody, C. R. Acad. Sci. Paris, 299 (1984), 161-164.
8) R. V. Moody, A new class of Lie algebras, J. Algebra, 10 (1968), 221-230.
9) D. H. Peterson and V. G. Kac, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. USA, 80 (1983), 1778-1782.
10) M. J. Tits, Annuaire du collège de France, 1980-1981, pp. 75-87.

Right : [1] M. P. Cartier, Démonstration algébrique de la formule de Hausdorff, Bull. Soc. Math. France, 84 (1956), 241-249.
[2] O. Gabber and V. G. Kac, On defining relations of certain infinite-dimensional Lie algebras, Bull. Amer. Math. Soc., 5 (1981), 185-189.
[3] H. Garland, The arithmetic theory of loop groups, Publ. Math. IHES, 52 (1980), 5-136.
[4] V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR, Ser. Mat. Tom 32 (1968), 1923-1967. English translation: Math. USSR-Izvestija, 2 (1968), 1271-1311.
[5] V. G. Kac, Infinite dimensional Lie algebras, Birkhäuser, Boston, 1983.
[6] V. G. Kac and D. H. Peterson, Unitary structure in representations of infinite-dimensional groups and a convexity theorem, Invent. Math., 76 (1984), 1-14.
[7] O. Mathieu, Sur la construction de groupes associés aux algèbres de Kac-Moody, C. R. Acad. Sci. Paris, 299 (1984), 161-164.
[8] R. V. Moody, A new class of Lie algebras, J. Algebra, 10 (1968), 221-230.
[9] D. H. Peterson and V. G. Kac, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. USA, 80 (1983), 1778-1782.
[10] M. J. Tits, Annuaire du collège de France, 1980-1981, pp. 75-87.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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