메뉴 건너뛰기




Volumn 30, Issue 12, 2002, Pages 6011-6022

Direct limits of low-rank representations of classical groups

(1)  Dvorsky, Alexander a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036933076     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120016029     Document Type: Article
Times cited : (1)

References (17)
  • 1
    • 0033239079 scopus 로고    scopus 로고
    • Explicit Hilbert spaces for certain unipotent representations II
    • DS
    • [DS] Dvorsky, A.; Sahi, S. Explicit Hilbert Spaces for Certain Unipotent Representations II. Invent. Math. 1999, 138, 203-224.
    • (1999) Invent. Math. , vol.138 , pp. 203-224
    • Dvorsky, A.1    Sahi, S.2
  • 2
    • 0003332429 scopus 로고
    • Harmonic analysis in phase space
    • Princeton
    • [F] Folland, G. Harmonic Analysis in Phase Space. Ann. Math. Stud. 1989, 122, Princeton.
    • (1989) Ann. Math. Stud. , vol.122
    • Folland, G.1
  • 3
    • 0012403556 scopus 로고    scopus 로고
    • Direct limits of Zuckerman Derived functor modules
    • Ha
    • [Ha] Habib, A. Direct Limits of Zuckerman Derived Functor Modules. J. of Lie Theory 2001, 11, 339-353.
    • (2001) J. of Lie Theory , vol.11 , pp. 339-353
    • Habib, A.1
  • 5
    • 0001198355 scopus 로고
    • Irreducible representations of inductive limits of groups
    • KS
    • [KS] Kolomytsev, V.; Samoilenko, Yu. Irreducible Representations of Inductive Limits of Groups. Ukrainsk. Matem. Zh. 1977, 29, 526-531.
    • (1977) Ukrainsk. Matem. Zh. , vol.29 , pp. 526-531
    • Kolomytsev, V.1    Samoilenko, Yu.2
  • 6
    • 0000238488 scopus 로고
    • Singular unitary representations of classical groups
    • L1
    • [L1] Li, J.-S. Singular Unitary Representations of Classical Groups. Invent. Math. 1989, 97, 237-255.
    • (1989) Invent. Math. , vol.97 , pp. 237-255
    • Li, J.-S.1
  • 7
    • 0002663761 scopus 로고
    • On the classification of irreducible low rank unitary representations of classical groups
    • L2
    • [L2] Li, J.-S. On the Classification of Irreducible Low Rank Unitary Representations of Classical Groups. Compositio Math. 1989, 71, 29-48.
    • (1989) Compositio Math. , vol.71 , pp. 29-48
    • Li, J.-S.1
  • 8
    • 0002744838 scopus 로고
    • Highest weight modules of inductive limit lie algebras and groups
    • Na
    • [Na] Natarajan, L. Highest Weight Modules of Inductive Limit Lie Algebras and Groups. J. Alg. 1994, 167, 9-28.
    • (1994) J. Alg. , vol.167 , pp. 9-28
    • Natarajan, L.1
  • 11
    • 0012469844 scopus 로고    scopus 로고
    • Boundary values of holomorphic functions, singular unitary representations of the groups O(p, q) and their limits as q → ∞
    • NO
    • [NO] Neretin, Yu.; Ol'shanskiǐ, G. Boundary Values of Holomorphic Functions, Singular Unitary Representations of the Groups O(p, q) and their Limits as q → ∞. J. Math. Sciences 1997, 87, 3983-4035.
    • (1997) J. Math. Sciences , vol.87 , pp. 3983-4035
    • Neretin, Yu.1    Ol'shanskiǐ, G.2
  • 12
    • 0012360416 scopus 로고
    • Unitary representations of infinite-dimensional pairs (g, k) and the formalism of R. Howe
    • O1
    • [O1] Ol'shanskiǐ, G. Unitary Representations of Infinite-Dimensional Pairs (G, K) and the Formalism of R. Howe. Soviet Math. Dokl. 1983, 27, 290-293.
    • (1983) Soviet Math. Dokl. , vol.27 , pp. 290-293
    • Ol'shanskiǐ, G.1
  • 13
    • 0001471212 scopus 로고
    • Unitary representations of infinite-dimensional pairs (G, K) and the formalism of R. Howe
    • O2; Gordon and Breach: New York
    • [O2] Ol'shanskiǐ, G. Unitary Representations of Infinite-Dimensional Pairs (G, K) and the Formalism of R. Howe. In: Representation of Lie groups and Related Topics; Gordon and Breach: New York, 1990, pp. 269-465.
    • (1990) Representation of Lie Groups and Related Topics , pp. 269-465
    • Ol'shanskiǐ, G.1
  • 14
    • 0012404314 scopus 로고
    • Irreducible unitary representations of the groups U(p, q) that allow passage to a limit as q → ∞
    • O3
    • [O3] Ol'shanskiǐ, G. Irreducible Unitary Representations of the Groups U(p, q) that Allow Passage to a Limit as q → ∞. J. Soviet Math. 1992, 59, 1102-1107.
    • (1992) J. Soviet Math. , vol.59 , pp. 1102-1107
    • Ol'shanskiǐ, G.1
  • 15
    • 0012397635 scopus 로고    scopus 로고
    • On the dual pairs (O(p,q),SL(2, R)), (U(p,q), U(1, 1)), (Sp(p,q),O*(4))
    • PT
    • [PT] Paul, A.; Tan, E.-C. On the Dual Pairs (O(p,q),SL(2, R)), (U(p,q), U(1, 1)), (Sp(p,q),O*(4)). Pacific J. Math. 1999, 107, 349-378.
    • (1999) Pacific J. Math. , vol.107 , pp. 349-378
    • Paul, A.1    Tan, E.-C.2
  • 16
    • 0012363543 scopus 로고    scopus 로고
    • On certain distinguished unitary representations supported on null cones
    • TZ
    • [TZ] Tan, E.-C.; Zhu, C.-B. On Certain Distinguished Unitary Representations Supported on Null Cones. American J. Math. 1998, 120, 1059-1076.
    • (1998) American J. Math. , vol.120 , pp. 1059-1076
    • Tan, E.-C.1    Zhu, C.-B.2
  • 17
    • 37849189717 scopus 로고    scopus 로고
    • Quelques théorèmes de réciprocité pour les représentations holomorphes irréductibles de certains groupes de dimension infinie
    • T-T
    • [T-T] Ton-That, T. Quelques Théorèmes De Réciprocité Pour Les Représentations Holomorphes Irréductibles De Certains Groupes De Dimension Infinie. Helv. Phys. Acta 1999, 72 (4), 221-249.
    • (1999) Helv. Phys. Acta , vol.72 , Issue.4 , pp. 221-249
    • Ton-That, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.