Borel-Weil-type theorem for the flag manifold of a generalized Kac-Moody Algebra

Journal of Algebra

Volumn 193, Issue 2, 1997, Pages 529-551

  Suto, Kiyokazu ^a  

^a OKAYAMA UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031571051     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6989     Document Type: Article

References (10)

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3. 3. V. G. Kac, "Infinite Dimensional Lie Algebras," 3rd ed., Cambridge Univ. Press, Cambridge, UK, 1990.
4. 4. M. Kashiwara, The flag manifold of Kac-Moody Lie algebra, in "Algebraic Analysis, Geometry and Number Theory," pp. 161-190, Johns Hopkins Press, Baltimore, 1990.
5. 5. M. Kashiwara, Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra, in "The Grothendieck Festchrift, Volume II," Progress, in Math., Vol. 87, pp. 407-433, Birkhäuser, Boston, 1990.
6. 6. M. Kashiwara and T. Tanisaki, Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra II, in "Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory," Progress in Math., Vol. 92, pp. 159-195, Birkhäuser, Boston, 1990.
7. 7. S. Kumar, Demazure character formula in arbitrary Kac-Moody setting, Invent. Math. 89 (1987), 395-423.
8. 8. O. Mathieu, Formules de caractrès pour les algèbres de Kac-Moody générales, Astérisque 159-160 (1988).
9. 9. D. H. Peterson and V. G. Kac, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. USA 80 (1983), 1778-1782.
10. 10. N. R. Wallach, "Harmonic Analysis on Homogeneous Spaces," Dekker, New York, 1973.