A note on the vanishing of certain ‘L2-cohomologies’

R. PARTHASARATHY

doi:10.2969/jmsj/02340676

A note on the vanishing of certain ‘L²-cohomologies’

R. PARTHASARATHY

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ジャーナルフリー

1971 年 23 巻 4 号 p. 676-691

DOI https://doi.org/10.2969/jmsj/02340676

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Published: 1971 Received: 1971/04/07 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : A note on the vanishing of certain 'L²-cohomologies'
Right : A note on the vanishing of certain ‘L²-cohomologies’

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) F. Bruhat, Travaux de Harish-Chandra, Seminaire Bourbaki, exposé 143 (1957), 1-9.
2) Harish-Chandra, (a) Representations of semisimple Lie groups; III, Trans. Amer. Math. Soc., 76 (1954), 243-253.
(b) Representations of semisimple Lie groups; IV, Amer. J. Math., 77 (1955), 743-777.
(c) Representations of semisimple Lie groups; V, Amer. J. Math., 78 (1956), 1-41.
3) S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
4) B. Kostant, Lie algebra cohomology and the generalized Borel-Weil Theorem, Ann. of Math., 74 (1961), 329-387.
5) M. S. Narasimhan and K. Okamoto, An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type, Ann. of Math., 91 (1970), 486-511.
6) R. Parthasarathy, Dirac operator and the Discrete series, (to appear).

Right : [1] F. Bruhat, Travaux de Harish-Chandra, Seminaire Bourbaki, exposé 143 (1957), 1-9.
[2] Harish-Chandra, (a) Representations of semisimple Lie groups; III, Trans. Amer. Math. Soc., 76 (1954), 243-253.
Harish-Chandra, (b) Representations of semisimple Lie groups; IV, Amer. J. Math., 77 (1955), 743-777.
Harish-Chandra, (c) Representations of semisimple Lie groups; V, Amer. J. Math., 78 (1956), 1-41.
[3] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
[4] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil Theorem, Ann. of Math., 74 (1961), 329-387.
[5] M. S. Narasimhan and K. Okamoto, An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type, Ann. of Math., 91 (1970), 486-511.
[6] R. Parthasarathy, Dirac operator and the Discrete series, (to appear).

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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