Proceedings of the Japan Academy
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On realization of the discrete series for semisimple Lie groups

Ryoshi Hotta
Source: Proc. Japan Acad. Volume 46, Number 9, Supplement (1970), 993-996.
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Primary Subjects: 22E40
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195526548
Mathematical Reviews number (MathSciNet): MR0291354
Zentralblatt MATH identifier: 0229.22028
Digital Object Identifier: doi:10.3792/pja/1195526548

References

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Mathematical Reviews (MathSciNet): MR21942
Zentralblatt MATH: 0045.38801
Digital Object Identifier: doi:10.2307/1969129
Harish-Chandra: Representations of semisimple Lie groups. V. Amer. J. Math., 78, 1-41 (1956).
Mathematical Reviews (MathSciNet): MR82055
Zentralblatt MATH: 0070.11602
Digital Object Identifier: doi:10.2307/2372481
Harish-Chandra: Discrete series for semisimple Lie groups. II. Acta Math., 116, 1-111 (1966).
Mathematical Reviews (MathSciNet): MR219666
Zentralblatt MATH: 0199.20102
Digital Object Identifier: doi:10.1007/BF02392813
R. Hotta: Elliptic complexes on certain homogeneous spaces. Osaka J. Math., 7, 117-160 (1970).
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Project Euclid: euclid.ojm/1200692691
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, 486-511 (1970).
Mathematical Reviews (MathSciNet): MR274657
Zentralblatt MATH: 0257.22013
Digital Object Identifier: doi:10.2307/1970635
K. Okamoto: On induced representations. Osaka J. Math.,4, 85-94 (1967).
Mathematical Reviews (MathSciNet): MR225929
Zentralblatt MATH: 0172.18407
Project Euclid: euclid.ojm/1200691816
W. Schmid: Homogeneous complex manifolds and representations of semi-simple Lie groups. Thesis, Proc. Nat. Acad. Sci. U.S.A., 59, 56-59 (1968).
Mathematical Reviews (MathSciNet): MR225930
Zentralblatt MATH: 0164.15803
Digital Object Identifier: doi:10.1073/pnas.59.1.56
W. Schmid: On a conjecture of Langlands. to appear.
Mathematical Reviews (MathSciNet): MR286942
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R. Takahashi: Sur les representations unitaires des groupes de Lorentz generalises. Bull. Soc. Math. France, 91, 289-433 (1963).
Mathematical Reviews (MathSciNet): MR179296
Zentralblatt MATH: 0196.15501
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