PRIMITIVE VECTORS OF KAC-MODULES OF THE LIE SUPERALGEBRAS sl(m/n)

@inproceedings{Su1999PRIMITIVEVO,
  title={PRIMITIVE VECTORS OF KAC-MODULES OF THE LIE SUPERALGEBRAS sl(m/n)},
  author={Yucai Su and Jerry W. Hughes and Ronald C. King},
  year={1999}
}
To study finite-dimensional modules of the Lie superalgebras, Kac introduced the Kac-modules V(Λ) and divided them into typical or atypical modules according as they are simple or not. For Λ being atypical, Hughes et al have an algorithm to determine all the composition factors of a Kac-module; they conjectured that there exists a bijection between the composition factors of a Kac-module and the so-called permissible codes. The aim of this paper is to prove this conjecture. We gives a partial… CONTINUE READING

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Character formulas for irreducible modules of the Lie superalgebra sl(m/n),

  • J. Van der Jeugt, J.W.B. Hughes, R. C. King, J. Thierry-Mieg
  • gl(m/s),” Lett. Math. Phys
  • 1999

and J . Thierry - Mieg , “ Character formulas for irreducible modules of the Lie superalgebra sl ( m / n )

  • J. Van der Jeugt, R. C. King
  • J . Math . Phys .
  • 1999

Indecomposable representations of special linear Lie superalgebras,

  • J. Germoni
  • J. Alg
  • 1998

Classification of finite dimensional modules of the Lie superalgebra sl(2/1),

  • Y. Su
  • Comm. Alg
  • 1992

Infinite dimensional Lie algebras, 3rd ed

  • V. G. Kac
  • 1990

and J . Thierry - Mieg , “ A character formula for singly atypical modules of the Lie superalgebra sl ( m / n )

  • J. Van der Jeugt, R. C. King
  • 1990

“ Kazhdan - Luszitig polynomials and character formula for the Lie superalgebra gl

  • Serganova
  • The theory of Lie superalgebras
  • 1979

Representations of classical Lie superalgebras,

  • V. G. Kac
  • Lecture Notes in Math.,
  • 1978

Characters of typical representations of classical Lie superalgebras,

  • V. G. Kac
  • Comm. Alg
  • 1977

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