Semiinvariant vectors associated to decompositions of monomial representations of exponential Lie groups

Junko INOUE

doi:10.2969/jmsj/04940647

Junko INOUE

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ジャーナルフリー

1997 年 49 巻 4 号 p. 647-661

DOI https://doi.org/10.2969/jmsj/04940647

詳細

Published: 1997 Received: 1994/08/22 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) Y. Benoist, Multiplicité un pour les espaces symétriques exponentiels, Mem. Soc. Math. France, 15 (1984), 1-37.
2) P. Bernat et al., Représentations des grouper de Lie résolubles, Dunod, 1972. Serniinvariant vectors 661
3) L. Corwin, F. P. Greenleaf and G. Grélaud, Direct integral decompositions and multiplicities for induced représentations of nilpotent Lie groups, Trans. Amer. Math. Soc., 304 (1987), 549-583.
4) H. Fujiwara, Representation monomiales des groupes de Lie nilpotents, Pacific J. Math., 127 (1987), 329-352.
5) H. Fujiwara and S. Yamagami, Certaines répresentations monomiales d'un groupe de Lie résoluble exponentiel, Adv. Stud. Pure Math., 14 (1988), 153-190.
6) H. Fujiwara, Représentations Monomiales de Groupes de Lie Résolubles Exponentiels, The Orbit Method in Representation Theory, Birkhäuser, 1990, pp. 61-84.
7) J. Inoue, Monomial representations of certain exponential Lie groups, J. Funkt. Anal., 83 (1989), 121-149.
8) R. Lipsman, The Penney-Fujiwara Plancherel Formula for Symmetric Spaces, The Orbit Method in Representation Theory, Birkhäuser, 1990, pp. 135-145.
9) R. Lipsman, Induced representations of completely solvable Lie groups, Ann. Scuola Norm. Sup. Pisa, 17 (1990), 127-164.
10) R. Lipsman, The Penney-Fujiwara Plancherel formula for abelian symmetric spaces and completely solvable homogeneous spaces, Pacific J. Math., 151 (1991), 265-294.
11) R. Penney, Abstract Plancherel Theorems and a Frobenius Reciprocity Theorem, J. Funct. Anal., 18 (1975), 177-190.

Right : [1] Y. Benoist, Multiplicité un pour les espaces symétriques exponentiels, Mem. Soc. Math. France, 15 (1984), 1-37.
[2] P. Bernat et al., Représentations des grouper de Lie résolubles, Dunod, 1972.
[3] L. Corwin, F. P. Greenleaf and G. Grélaud, Direct integral decompositions and multiplicities for induced représentations of nilpotent Lie groups, Trans. Amer. Math. Soc., 304 (1987), 549-583.
[4] H. Fujiwara, Représentation monomiales des groupes de Lie nilpotents, Pacific J. Math., 127 (1987), 329-352.
[5] H. Fujiwara and S. Yamagami, Certaines représentations monomiales d'un groupe de Lie résoluble exponentiel, Adv. Stud. Pure Math., 14 (1988), 153-190.
[6] H. Fujiwara, Représentations Monomiales de Groupes de Lie Résolubles Exponentiels, The Orbit Method in Representation Theory, Birkhäuser, 1990, pp. 61-84.
[7] J. Inoue, Monomial representations of certain exponential Lie groups, J. Funkt. Anal., 83 (1989), 121-149.
[8] R. Lipsman, The Penney-Fujiwara Plancherel Formula for Symmetric Spaces, The Orbit Method in Representation Theory, Birkhäuser, 1990, pp. 135-145.
[9] R. Lipsman, Induced representations of completely solvable Lie groups, Ann. Scuola Norm. Sup. Pisa, 17 (1990), 127-164.
[10] R. Lipsman, The Penney-Fujiwara Plancherel formula for abelian symmetric spaces and completely solvable homogeneous spaces, Pacific J. Math., 151 (1991), 265-294.
[11] R. Penney, Abstract Plancherel Theorems and a Frobenius Reciprocity Theorem, J. Funct. Anal., 18 (1975), 177-190.

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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