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Volumn 78, Issue 2, 2003, Pages 266-307

Generalized Whittaker vectors for holomorphic and quaternionic representations

Author keywords

Lie groups; Quaternionic discrete series; Representations; Whittaker vectors

Indexed keywords


EID: 0037934509     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000140300012     Document Type: Article
Times cited : (39)

References (21)
  • 2
    • 0001291539 scopus 로고
    • Canonical extensions of Harish-Chandra modules
    • [Ca]
    • [Ca] W. Casselman, Canonical extensions of Harish-Chandra modules, Can. J. Math. 41 (1989), 315-438.
    • (1989) Can. J. Math. , vol.41 , pp. 315-438
    • Casselman, W.1
  • 3
    • 0031524028 scopus 로고    scopus 로고
    • Embeddings of unitary highest weight representations and generalized Dirac operators
    • [E-W]
    • [E-W] T. Enright and N. Wallach, Embeddings of unitary highest weight representations and generalized Dirac operators, Math. Ann. 307 (1997), no. 4, 627-646.
    • (1997) Math. Ann. , vol.307 , Issue.4 , pp. 627-646
    • Enright, T.1    Wallach, N.2
  • 4
    • 0003263033 scopus 로고    scopus 로고
    • Representations and invariants of the classical groups
    • [G-W] Cambridge University Press, Cambridge
    • [G-W] R. Goodman and N. Wallach, Representations and invariants of the classical groups, Encyclopedia of Mathematics and its Applications, 68. Cambridge University Press, Cambridge, 1998.
    • (1998) Encyclopedia of Mathematics and its Applications , vol.68
    • Goodman, R.1    Wallach, N.2
  • 5
    • 0001602752 scopus 로고
    • Operator-valued Bessel functions on Jordan algebras
    • [Gr-D]
    • [Gr-D] K. Gross and H. Ding, Operator-valued Bessel functions on Jordan algebras, J. Reine Angew. Math. 435 (1993), 157-196.
    • (1993) J. Reine Angew. Math. , vol.435 , pp. 157-196
    • Gross, K.1    Ding, H.2
  • 6
    • 0242631072 scopus 로고    scopus 로고
    • On quaternionic discrete series representations, and their continuations
    • [Gr-W]
    • [Gr-W] B. Gross and N. Wallach, On quaternionic discrete series representations, and their continuations, J. Reine Angew. Math. 481 (1996), 73-123.
    • (1996) J. Reine Angew. Math. , vol.481 , pp. 73-123
    • Gross, B.1    Wallach, N.2
  • 7
    • 0000964209 scopus 로고
    • Representations of semisimple Lie groups VI
    • [H-C]
    • [H-C] Harish-Chandra, Representations of semisimple Lie groups VI, Amer. J. Math. 78 (1956), 564-628.
    • (1956) Amer. J. Math. , vol.78 , pp. 564-628
    • Harish-Chandra1
  • 8
    • 34250394531 scopus 로고
    • A proof of Blattner's conjecture
    • [He-S]
    • [He-S] H. Hecht and W. Schmid, A proof of Blattner's conjecture, Inventiones math. 31 (1975), 129-154.
    • (1975) Inventiones Math. , vol.31 , pp. 129-154
    • Hecht, H.1    Schmid, W.2
  • 10
    • 0001416265 scopus 로고
    • Fonctiones de Whittaker associees aux groupes de Chevalley
    • [J]
    • [J] H. Jacquet, Fonctiones de Whittaker associees aux groupes de Chevalley, Bull. Soc. Math. France 95 (1967), 243-309.
    • (1967) Bull. Soc. Math. France , vol.95 , pp. 243-309
    • Jacquet, H.1
  • 11
    • 84968503309 scopus 로고
    • Composition series and intertwining operators for the spherical principal series, I
    • [J-W]
    • [J-W] K. Johnson and N. Wallach, Composition series and intertwining operators for the spherical principal series, I, Trans. Amer. Math. Soc. 229 (1977), 137-173.
    • (1977) Trans. Amer. Math. Soc. , vol.229 , pp. 137-173
    • Johnson, K.1    Wallach, N.2
  • 13
    • 0000262616 scopus 로고
    • Szego kernels associated with discrete series
    • [K-W]
    • [K-W] A. Knapp and N. Wallach, Szego kernels associated with discrete series, Invent. Math. 34 (1976), no. 3, 163-200.
    • (1976) Invent. Math. , vol.34 , Issue.3 , pp. 163-200
    • Knapp, A.1    Wallach, N.2
  • 14
    • 0030600836 scopus 로고    scopus 로고
    • On the transversal symbol of vectorial distributions and some applications to harmonic analysis
    • [Ko-V]
    • [Ko-V] Johan A. C. Kolk and V. S. Varadarajan, On the transversal symbol of vectorial distributions and some applications to harmonic analysis, Indag. Mathem. N.S. 7 (1996), 67-96.
    • (1996) Indag. Mathem. N.S. , vol.7 , pp. 67-96
    • Kolk, J.A.C.1    Varadarajan, V.S.2
  • 15
    • 0000482115 scopus 로고
    • On Whittaker vectors and representation theory
    • [Ko1]
    • [Ko1] B. Kostant, On Whittaker vectors and representation theory, Inventiones math. 48 (1978), 101-184.
    • (1978) Inventiones Math. , vol.48 , pp. 101-184
    • Kostant, B.1
  • 16
    • 85009797051 scopus 로고    scopus 로고
    • On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of SL(2, ℝ)
    • [Ko2]
    • [Ko2] B. Kostant, On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of SL(2, ℝ), Represent. Theory 4 (2000), 181-224.
    • (2000) Represent. Theory , vol.4 , pp. 181-224
    • Kostant, B.1
  • 17
    • 84968513284 scopus 로고
    • On the Selberg trace formula in the case of compact quotient
    • [Wa1]
    • [Wa1] Nolan R. Wallach, On the Selberg trace formula in the case of compact quotient, Bull. Amer. Math. Soc. 82 (1976), no. 2, 171-195.
    • (1976) Bull. Amer. Math. Soc. , vol.82 , Issue.2 , pp. 171-195
    • Wallach, N.R.1
  • 18
    • 0038250399 scopus 로고
    • The asymptotic behavior of holomorphic representations. Harmonic analysis on Lie groups and symmetric spaces
    • [Wa2] Kleebach, 1983
    • [Wa2] Nolan R. Wallach, The asymptotic behavior of holomorphic representations. Harmonic analysis on Lie groups and symmetric spaces (Kleebach, 1983), Mém. Soc. Math. France (N.5.) No. 15, (1984), 291-305.
    • (1984) Mém. Soc. Math. France (N.5.) , Issue.15 , pp. 291-305
    • Wallach, N.R.1
  • 19
    • 0003334510 scopus 로고
    • Real reductive groups. I
    • [Wa3] Academic Press, Inc., Boston, MA
    • [Wa3] Nolan R. Wallach, Real reductive groups. I, Pure and Applied Mathematics, 132. Academic Press, Inc., Boston, MA, 1988.
    • (1988) Pure and Applied Mathematics , vol.132
    • Wallach, N.R.1
  • 20
    • 0003334510 scopus 로고
    • Real reductive groups. II
    • [Wa4] Academic Press, Inc., Boston, MA
    • [Wa4] Nolan R. Wallach, Real reductive groups. II, Pure and Applied Mathematics, 132-11. Academic Press, Inc., Boston, MA, 1992.
    • (1992) Pure and Applied Mathematics , vol.132 , Issue.2
    • Wallach, N.R.1
  • 21
    • 0011399055 scopus 로고
    • Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals
    • [Wa5] Representations of Lie groups, Kyoto, Hiroshima, 1986, Academic Press, Boston, MA
    • [Wa5] Nolan R. Wallach, Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals, in: Representations of Lie groups, Kyoto, Hiroshima, 1986, 123-151, Adv. Stud. Pure Math., 14, Academic Press, Boston, MA, 1988.
    • (1988) Adv. Stud. Pure Math. , vol.14 , pp. 123-151
    • Wallach, N.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.