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Original Articles

Verma Modules Over Generalized Block Algebras B(b(1), b(2))

Pages 415-424 | Received 24 Sep 2003, Published online: 03 Sep 2006

REFERENCES

  • Block , R. ( 1958 ). On torsion free Abelian groups and Lie algebras . Proc. Amer. Math. Soc. 9 : 613 – 620 . [CSA]
  • Djokovic , D. Z. , Zhao , K. ( 1996 ). Derivations, isomorphisms and second cohomology of generalized block algebras . Algebra Colloq. 3 : 245 – 272 . [CSA]
  • Djokovic , D. Z. , Zhao , K. ( 1998 ). Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block . J. Pure Appl. Algebra 127 ( 2 ): 153 – 165 . [CROSSREF] [CSA]
  • Kac , V. G. ( 1990 ). Infinite Dimensional Lie Algebras. , 3rd ed. Cambridge : Cambridge University Press .
  • Kac , V. G. , Raina , A. K. ( 1987 ). Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras . Singapore : World Sci.
  • Hu , J. , Wang , X. , Zhao , K. ( 2003 ). Verma modules over generalized Virasoro algebras Vir[G] . J. Pure Appl. Algebra 177 ( 1 ): 61 – 69 . [CROSSREF] [CSA]
  • Mazorchuk , V. ( 1999 ). Verma modules over generalized Witt algebras . Compositio Math. (1) 115 : 21 – 35 . [CROSSREF] [CSA]
  • Mazorchuk , V. ( 2000 ). Classification of simple Harish-Chandra modules over Q-Virasoro algebra . Math. Nachr. 209 : 171 – 177 . [CROSSREF] [CSA]
  • Su , Y. , Zhou , J. ( 2002 ). Structure of the Lie algebras related to those of block . Comm. Alg. 30 : 3205 – 3226 . [CROSSREF] [CSA]
  • Wang , X. , Zhao , K. ( 2006 ). Verma modules over Virasoro-like algebras . To appear in J. Aust. Math. Soc. [CSA]
  • Zhao , K. ( 2002 ). Highest weight irreducible representations of the Virasora-like algebra , preprint . [CSA]
  • Zhang , H. , Zhao , K. ( 1996 ). Representations of the Virasoro-like algebra and its q-analog . Comm. Alg. 24 ( 14 ): 4361 – 4372 . [CSA]
  • Communicated by B. Parshall.

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