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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JOURNAL FREE ACCESS

1997 Volume 49 Issue 4 Pages 647-661

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

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Published: 1997 Received: August 22, 1994 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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