메뉴 건너뛰기




Volumn 351, Issue 8, 1999, Pages 3413-3431

On modules of bounded multiplicities for the symplectic algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22644448325     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-99-02338-7     Document Type: Article
Times cited : (26)

References (13)
  • 1
    • 0031508997 scopus 로고    scopus 로고
    • Modules with Bounded Weight Multiplici- ties for Simple Lie Algebras
    • MR 98h:17004
    • G.M. Benkart, D.J. Britten, and F.W. Lemire, Modules with Bounded Weight Multiplici- ties for Simple Lie Algebras, Math. Z. 225 (1997), 333-353. MR 98h:17004
    • (1997) Math. Z , vol.225 , pp. 333-353
    • Benkart, G.M.1    Britten, D.J.2    Lemire, F.W.3
  • 2
    • 84973050722 scopus 로고
    • Simple A2 modules with a finite dimensional weight space
    • MR 95k:17005
    • D.J. Britten, V. Futorny, and F.W. Lemire, Simple A2 modules with a finite dimensional weight space, Comm. in Algebra 23 (1995), 467-510. MR 95k:17005
    • (1995) Comm. In Algebra , vol.23 , pp. 467-510
    • Britten, D.J.1    Futorny, V.2    Lemire, F.W.3
  • 3
    • 0039684879 scopus 로고
    • Simple Cn-modules with multiplicities 1 and applications
    • MR 96d:17004
    • D.J. Britten, J. Hooper, and F.W. Lemire, Simple Cn-modules with multiplicities 1 and applications, Canad. Jour. of Physics 72 (1994), 326-335. MR 96d:17004
    • (1994) Canad. Jour. Of Physics , vol.72 , pp. 326-335
    • Britten, D.J.1    Hooper, J.2    Lemire, F.W.3
  • 4
    • 0032382909 scopus 로고    scopus 로고
    • A Pieri-like Formula for Torsion Free Modules
    • D.J. Britten and F.W. Lemire, A Pieri-like Formula for Torsion Free Modules, Canad. J. Math. 50 (1998), 266-289.
    • (1998) Canad. J. Math , vol.50 , pp. 266-289
    • Britten, D.J.1    Lemire, F.W.2
  • 5
    • 84967708684 scopus 로고
    • A classification of simple Lie modules having a 1-dimensional weight space
    • MR 88b:17013
    • D.J. Britten and F.W. Lemire, A classification of simple Lie modules having a 1-dimensional weight space, Trans. Amer. Math. Soc. 299 (1987), 683-697. MR 88b:17013
    • (1987) Trans. Amer. Math. Soc , vol.299 , pp. 683-697
    • Britten, D.J.1    Lemire, F.W.2
  • 6
    • 0004163773 scopus 로고
    • Gauthier-Villars, Paris-Brussels-Montréal, MR 58:16803a
    • J. Dixmier, Algébres Enveloppantes, Gauthier-Villars, Paris-Brussels-Montréal (1974). MR 58:16803a
    • (1974) Algébres Enveloppantes
    • Dixmier, J.1
  • 7
    • 0040262392 scopus 로고
    • Idéaux Primitifs Dans L'Algébre Enveloppante D'Une Algébre De Lie Semi- Simple
    • MR 48:356
    • J. Dixmier, Idéaux Primitifs Dans L'Algébre Enveloppante D'Une Algébre De Lie Semi- Simple, Bull. Sc. Math., 2e série, 96, (1972), 339-351. MR 48:356
    • (1972) Bull. Sc. Math., 2E série , vol.96 , pp. 339-351
    • Dixmier, J.1
  • 8
    • 0000563670 scopus 로고
    • Lie algebra modules with finite dimensional weight spaces I
    • MR 91c:17006
    • S.L. Fernando, Lie algebra modules with finite dimensional weight spaces I, Trans. Amer. Math. Soc. 322 (1990), 757-781. MR 91c:17006
    • (1990) Trans. Amer. Math. Soc , vol.322 , pp. 757-781
    • Fernando, S.L.1
  • 9
    • 0003322938 scopus 로고
    • Moduln mit einem höchsten Gewicht
    • Springer-Verlag, MR 81m:17011
    • J.C. Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics 750, Springer-Verlag (1979). MR 81m:17011
    • (1979) Lecture Notes in Mathematics , vol.750
    • Jantzen, J.C.1
  • 10
    • 0000745277 scopus 로고
    • On the tensor product of a finite and an infinite dimensional representation
    • MR 54:2888
    • B. Kostant, On the tensor product of a finite and an infinite dimensional representation, J. Func. Anal. 20(1975), 257-285. MR 54:2888
    • (1975) J. Func. Anal , vol.20 , pp. 257-285
    • Kostant, B.1
  • 11
    • 33645428481 scopus 로고
    • Note on Weight Spaces of Irreducible Linear Representations
    • MR 38:3385
    • F.W. Lemire, Note on Weight Spaces of Irreducible Linear Representations, Canad. Math. Bull. 11 (1968), 399-403. MR 38:3385
    • (1968) Canad. Math. Bull , vol.11 , pp. 399-403
    • Lemire, F.W.1
  • 12
    • 84968502861 scopus 로고
    • Weight Spaces and Irreducible Representations of Simple Lie Algebras
    • MR 39:4326
    • F.W. Lemire, Weight Spaces and Irreducible Representations of Simple Lie Algebras, Proc. Amer. Math. Soc. 22 (1969), 192-197. MR 39:4326
    • (1969) Proc. Amer. Math. Soc , vol.22 , pp. 192-197
    • Lemire, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.