메뉴 건너뛰기




Volumn 4, Issue 1, 1998, Pages 11-29

Tensor products of singular representations and an extension of the θ-correspondence

Author keywords

Howe duality; Unipotent representations

Indexed keywords


EID: 54649084119     PISSN: 10221824     EISSN: 14209020     Source Type: Journal    
DOI: 10.1007/s000290050023     Document Type: Article
Times cited : (8)

References (18)
  • 2
    • 0001064922 scopus 로고
    • [EHW] Proceedings of the University of Utah Conference 1982, Progress in Math., vol. 40. Birkhäuser, Boston
    • [EHW] T. Enright, R. Howe and N. Wallach. A classification of unitary highest weight modules. Proceedings of the University of Utah Conference 1982, Progress in Math., vol. 40. Birkhäuser, Boston, 1983, pp. 97-143.
    • (1983) A Classification of Unitary Highest Weight Modules , pp. 97-143
    • Enright, T.1    Howe, R.2    Wallach, N.3
  • 5
    • 0002310342 scopus 로고
    • Holomorphic discrete series for the real symplectic group
    • [G1]
    • [G1] S. Gelbart. Holomorphic discrete series for the real symplectic group. Invent. Math. 19 (1973), 49-58.
    • (1973) Invent. Math. , vol.19 , pp. 49-58
    • Gelbart, S.1
  • 6
    • 54749141619 scopus 로고
    • [G2] CRM Proceedings and Lecture Notes., AMS. Providence
    • [G2] S. Gelbart. On theta-series liftings for unitary groups. CRM Proceedings and Lecture Notes., vol. 1, AMS. Providence, 1993, pp. 129-173.
    • (1993) On Theta-series Liftings for Unitary Groups , vol.1 , pp. 129-173
    • Gelbart, S.1
  • 9
    • 84968514046 scopus 로고
    • Transcending classical invariant theory
    • [Ho2]
    • [Ho2] R. Howe. Transcending classical invariant theory. J. of the Amer. Math. Soc. 2 (1989), 535-552.
    • (1989) J. of the Amer. Math. Soc. , vol.2 , pp. 535-552
    • Howe, R.1
  • 10
    • 0001988113 scopus 로고
    • Asymptotic properties of unitary representations
    • [HM]
    • [HM] R. Howe and C. Moore. Asymptotic properties of unitary representations. J. Func. Anal. 32 (1979), 72-96.
    • (1979) J. Func. Anal. , vol.32 , pp. 72-96
    • Howe, R.1    Moore, C.2
  • 11
    • 0001833206 scopus 로고
    • On the Segal-Shale-Weil representations and harmonic polynomials
    • [KV]
    • [KV] M. Kashiwara and M. Vergne. On the Segal-Shale-Weil representations and harmonic polynomials. Invent. Math. 44 (1978), 1-47.
    • (1978) Invent. Math. , vol.44 , pp. 1-47
    • Kashiwara, M.1    Vergne, M.2
  • 12
    • 0000238488 scopus 로고
    • Singular unitary representations of classical groups
    • [LI]
    • [LI] J.-S. Li. Singular unitary representations of classical groups. Invent. Math. 97 (1989), 237-255.
    • (1989) Invent. Math. , vol.97 , pp. 237-255
    • Li, J.-S.1
  • 13
    • 0002663761 scopus 로고
    • On the classification of irreducible low rank unitary representations of classical groups
    • [L2]
    • [L2] J.-S. Li. On the classification of irreducible low rank unitary representations of classical groups. Compositio Math. 71 (1989), 29-48.
    • (1989) Compositio Math. , vol.71 , pp. 29-48
    • Li, J.-S.1
  • 15
    • 0001490279 scopus 로고
    • Tensor products of holomorphic discrete series representations
    • [R]
    • [R] J. Repka. Tensor products of holomorphic discrete series representations. Can. J. Math. 31 (1979), 836-844.
    • (1979) Can. J. Math. , vol.31 , pp. 836-844
    • Repka, J.1
  • 16
    • 0001527374 scopus 로고
    • Explicit Hilbert spaces for certain unipotent representations
    • [S]
    • [S] S. Sahi. Explicit Hilbert spaces for certain unipotent representations. Invent. Math. 110 (1992), 409-418.
    • (1992) Invent. Math. , vol.110 , pp. 409-418
    • Sahi, S.1
  • 17
    • 0041057444 scopus 로고
    • On a class of generalized Gelfand pairs
    • [V]
    • [V] G. Van Dijk. On a class of generalized Gelfand pairs. Math. Z. 193 (1986), 581-593.
    • (1986) Math. Z. , vol.193 , pp. 581-593
    • Van Dijk, G.1
  • 18
    • 34250594733 scopus 로고
    • Sur certains groupes d'operateurs unitaires
    • [W]
    • [W] A. Weil. Sur certains groupes d'operateurs unitaires. Acta Math. 111 (1964), 143-211.
    • (1964) Acta Math. , vol.111 , pp. 143-211
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.