Un analogue du théorème de Borel-Weil-Bott dans le cas non compact
Séminaire Bourbaki (1970-1971)
- Volume: 13, page 323-336
- ISSN: 0303-1179
Access Full Article
topHow to cite
topSchiffmann, Gérard. "Un analogue du théorème de Borel-Weil-Bott dans le cas non compact." Séminaire Bourbaki 13 (1970-1971): 323-336. <http://eudml.org/doc/109802>.
@article{Schiffmann1970-1971,
author = {Schiffmann, Gérard},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {323-336},
publisher = {Springer-Verlag},
title = {Un analogue du théorème de Borel-Weil-Bott dans le cas non compact},
url = {http://eudml.org/doc/109802},
volume = {13},
year = {1970-1971},
}
TY - JOUR
AU - Schiffmann, Gérard
TI - Un analogue du théorème de Borel-Weil-Bott dans le cas non compact
JO - Séminaire Bourbaki
PY - 1970-1971
PB - Springer-Verlag
VL - 13
SP - 323
EP - 336
LA - fre
UR - http://eudml.org/doc/109802
ER -
References
top- [1] A. Andreotti et E. Vesentini ,Carleman estimates for the Laplace-Beltrami equations on complex manifolds , Inst. Hautes Etudes Sci. Publ.Math.25 (1965 ) ,313-362 . Zbl0138.06604MR175148
- [2] M.F. Atiyah et I.M. Singer- The index of elliptic operators III, Ann.of Math.87 ,(1968) ,546-604 . Zbl0164.24301MR236952
- [3] A. Borel ,Compact Clifford-Klein forms of symmetric spaces ,Topology2 (1963) ,111-122 . Zbl0116.38603MR146301
- [4] P. Griffiths et W. Schmid ,Locally homogeneous complex manifolds ,Acta Math. Zbl0209.25701MR259958
- [5] Harish- Chandra ,Representations of semi-simple Lie groups IV ,V ,VIAmer. J. Math.77 (1955) ,743-777 , 78 (1956) ,1-41 et 564-628 . Zbl0066.35603
- [6] Harish- Chandra ,Discrete series II ,Acta .Math.116 (1966) ,1-111 . Zbl0199.20102MR219666
- [7] Hirzebruch F. ,Automorphe Formen und der Satz von Riemann-Roch ,in Symp. Intern. Top. Alg. 1956 ,129-144 ,Universidad de Mexico1958 . Zbl0129.29801MR103280
- [8] R. Hotta. , on a realization of the discrete series for semi-simple Lie groups ,à paraitre . Zbl0213.13701
- [9] B. Kostant ,Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. ,74 (1961) ,329-387 . Zbl0134.03501MR142696
- [10] R.P. Langlands ,The dimension of spaces of automorphic forms ,Amer.J.Math.85 (1963) ,99-125 . Zbl0113.25802MR156362
- [11] R.P. Langlands ,Dimension of spaces of automorphic forms ,in algebraic groups and discontinuous subgroups ,Proc. of Symposia in Pure Math. vol IX ,Amer. Math. Soc.Providence R.I. (1966) . Zbl0215.11802MR212135
- [12] M.S. Narasimhan et K. Okamoto ,An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of the non compact type ,Ann. of Math. Zbl0257.22013
- [13] K. Okamoto ,on induced representations , Osaka J.Math.4 (1967) ,85-94 Zbl0172.18407MR225929
- [14] K. Okamoto et H. Ozeki ,on square integrable -cohomology spaces attached to hermitian symmetric spaces ,Osaka J.Math. (1967) 95-110 . Zbl0173.23702MR229260
- [15] R. Parthasarathy ,Dirac operators and the discrete series ,à paraitre Zbl0249.22003
- [16] R. Parthasarathy ,A note on the vanishing of certain L2-cohomologies , Zbl0215.40703
- [17] W. Schmid ,Homogeneous complex manifolds and representations of semi-simple groups , non publié (thèse ,Berkeley1967 ).
- [18] W. Schmid ,Homogeneous complex manifolds and representations of semi-simple Lie groups ,Proc. Nat.Acad. Sci. U.S.A.59 (1968) ,56-59 . Zbl0164.15803MR225930
- [19] W. Schmid ,On a conjecture of Langlands ,Annals of Math.1971 . Zbl0291.43013MR286942
- [20] W. Schmid ,Some properties of square integrable representations of semi-simple Lie groups ,à paraitre . Zbl0347.22011
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.