Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOME MODULES IN CATEGORY $O^g$ GENERALIZED KAC-MOODY ALGEBRAS

  • Published : 1999.11.01
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Abstract

We extend the notion of category $O^g$ for Kac-Moody algebras to generalized Kac-Moody algebras and prove some analogues of results for Kac-Moody algebras.

Keywords

References

  1. J. Algebra v.115 Generalized Kac-Moody algebras R. E. Borcherds
  2. Adv. in Math. v.45 Structure of some categories of representations of infinite dimensional Lie algebras V. V. Deodhar;O. Gabber;V. G. Kac
  3. Contemporary Mathematics v.194 An exposition of generalized Kac-Moody algebras E. Jurisich
  4. Infinite Dimensional Lie Algebras(3d ed.) V. G. Kac