메뉴 건너뛰기




Volumn 225, Issue 2, 1997, Pages 333-353

Modules with bounded weight multiplicities for simple Lie algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031508997     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004314     Document Type: Article
Times cited : (47)

References (20)
  • 1
    • 0039092607 scopus 로고
    • Sur certaines representations de l'algèbre de lie sl(2)
    • D. Arnal, G. Pinczon, Sur certaines representations de l'algèbre de Lie sl(2), C.R. Acad. Sci. Paris (A) 272 (1971), 1369-1372.
    • (1971) C.R. Acad. Sci. Paris (A) , vol.272 , pp. 1369-1372
    • Arnal, D.1    Pinczon, G.2
  • 2
    • 0010953528 scopus 로고
    • On algebraically irreducible representations of the lie algebra sl(2)
    • D. Arnal, G. Pinczon, On algebraically irreducible representations of the Lie algebra sl(2), J. Math. Phys. 15 (1974), 350-359.
    • (1974) J. Math. Phys. , vol.15 , pp. 350-359
    • Arnal, D.1    Pinczon, G.2
  • 3
    • 0002090010 scopus 로고
    • The irreducible representations of the Lie algebra sl(2) and the Weyl algebra
    • R.E. Block, The irreducible representations of the Lie algebra sl(2) and the Weyl algebra, Adv. Math. 39 (1981), 69-110.
    • (1981) Adv. Math. , vol.39 , pp. 69-110
    • Block, R.E.1
  • 4
    • 33646971540 scopus 로고
    • Über die Gelfand-Kirillov dimension
    • W. Borho, H. Kraft, Über die Gelfand-Kirillov dimension, Math. Ann. 220 (1976), 1-24.
    • (1976) Math. Ann. , vol.220 , pp. 1-24
    • Borho, W.1    Kraft, H.2
  • 8
    • 84967708684 scopus 로고
    • A classification of simple Lie modules having a 1-dimensional weight space
    • D.J. Britten, F.W. Lemire, A classification of simple Lie modules having a 1-dimensional weight space, Trans. Amer. Math. Soc. 299 (1987), 683-697.
    • (1987) Trans. Amer. Math. Soc. , vol.299 , pp. 683-697
    • Britten, D.J.1    Lemire, F.W.2
  • 9
    • 0000275446 scopus 로고
    • Sur les algèbres de Weyl
    • J. Dixmier, Sur les algèbres de Weyl, Bull. Soc. Math. France 96 (1968), 209-242.
    • (1968) Bull. Soc. Math. France , vol.96 , pp. 209-242
    • Dixmier, J.1
  • 10
    • 0012910702 scopus 로고
    • Sur les algèbres de Weyl II
    • J. Dixmier, Sur les algèbres de Weyl II, Bull. Sci. Math. 94 (1970), 289-301.
    • (1970) Bull. Sci. Math. , vol.94 , pp. 289-301
    • Dixmier, J.1
  • 11
    • 0004163773 scopus 로고
    • Gauthier-Villars, Paris-Brussels-Montréal
    • J. Dixmier, Algèbres Enveloppantes, Gauthier-Villars, Paris-Brussels-Montréal (1974).
    • (1974) Algèbres Enveloppantes
    • Dixmier, J.1
  • 13
    • 0000563670 scopus 로고
    • Lie algebra modules with finite dimensional weight spaces I
    • S.L. Fernando, Lie algebra modules with finite dimensional weight spaces I, Trans. Amer. Math. Soc. 322 (1990), 757-781.
    • (1990) Trans. Amer. Math. Soc. , vol.322 , pp. 757-781
    • Fernando, S.L.1
  • 15
    • 31144434373 scopus 로고
    • On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra
    • Springer-Verlag Berlin, Heidelberg, New York, Tokyo
    • A. Joseph, On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra, Lie Group Representations I, Lect. Notes, in Math. 1024, Springer-Verlag Berlin, Heidelberg, New York, Tokyo (1983), 30-76.
    • (1983) Lie Group Representations I, Lect. Notes, in Math. , vol.1024 , pp. 30-76
    • Joseph, A.1
  • 16
    • 0002797638 scopus 로고
    • A minimal orbit in a simple Lie algebra and its associated maximal ideal
    • A. Joseph, A minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Sci. École Norm. Sup. 9 (1976), 1-29.
    • (1976) Ann. Sci. École Norm. Sup. , vol.9 , pp. 1-29
    • Joseph, A.1
  • 17
    • 0004046046 scopus 로고
    • Growth of algebras and Gelfand-Kirillov dimension
    • Boston-London-Melbourne
    • G.R. Krause, T.H. Lenagan, Growth of algebras and Gelfand-Kirillov dimension, Pitman Research Notes in Math. 116 Boston-London-Melbourne, (1985).
    • (1985) Pitman Research Notes in Math. , vol.116
    • Krause, G.R.1    Lenagan, T.H.2
  • 18
    • 0040870936 scopus 로고
    • Irreducible representations of a simple Lie algebra admitting a one-dimensional weight space
    • F.W. Lemire, Irreducible representations of a simple Lie algebra admitting a one-dimensional weight space, Proc. Amer. Math. Soc. 19 (1968), 1161-1164.
    • (1968) Proc. Amer. Math. Soc. , vol.19 , pp. 1161-1164
    • Lemire, F.W.1
  • 19
    • 0040276659 scopus 로고
    • One dimensional representations of the cycle subalgebra of a semisimple Lie algebra
    • F.W. Lemire, One dimensional representations of the cycle subalgebra of a semisimple Lie algebra, Canad. Math. Bull. 13 (1970), 463-467.
    • (1970) Canad. Math. Bull. , vol.13 , pp. 463-467
    • Lemire, F.W.1
  • 20
    • 0001210375 scopus 로고
    • Projective modules over graded Lie algebras I
    • A. Rocha-Caridi, N. Wallach, Projective modules over graded Lie algebras I, Math. Zeit. 180 (1982), 151-177.
    • (1982) Math. Zeit. , vol.180 , pp. 151-177
    • Rocha-Caridi, A.1    Wallach, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.