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Original Articles

CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRA sl(2/1)

Pages 1301-1309 | Received 01 Oct 1999, Published online: 20 Aug 2006

REFERENCES

  • Kac , V. G. 1977 . Lie Superalgebras . Adv. in Math. , 26 : 8 – 96 .
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  • Chmelev , G. C. 1982 . Indecomposable Representations of sl(1, 2) . Comptes Rendus de l'Académie Bulgare des Sciences , 35 ( 8 ) in Russian
  • Leites , D. 1982 . Indecomposable Representations of sl(1 ∣ n). Theoretical Physics and Mathematics . Acad. Nauk. CCCP , in Russian
  • Su , Y. 1992 . Classification of Finite Dimensional Modules of the Lie Superalgebra sl(2/1) . Comm. Alg. , 20 : 3259 – 3277 .
  • Germoni , J. 1998 . Indecomposable Representations of Special Linear Lie Superalgebras . J. Alg. , 209 : 367 – 401 .
  • Su , Y. 2000 . Classification of Finite Dimensional Modules of Singly Atypical Type Over the Lie Superalgebras sl(m/n) . J. Math. Phys. , 41 : 602 – 613 .
  • Su , Y. 1992 . A Complete Classification of Indecomposable Harish-Chandra Modules of the Lie Superalgebra B(0, 1) . Comm. Alg. , 20 : 573 – 582 .
  • Su , Y. 1993 . A Classification of Indecomposable sl 2( )-modules and a Conjecture of Kac on Irreducible Modules over the Virasoro Algebra . J. Alg. , 161 : 33 – 46 .
  • Su , Y. , Hughes , J. W.B. and King , R. C. 2000 . Primitive Vectors of Kac-Modules of the Superalgebras sl(m/n) . J. Math. phys. , 41 : 5064 – 5087 .

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