Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras

REFERENCES

• Farnsteiner , R. ( 1988 ). Derivations and central extensions of finitely generated graded Lie algebras . J. Algebra 118 : 33 – 45 .
   Web of Science ®Google Scholar
• Kac , V. G. ( 1990 ). Infinite-Dimensional Lie Algebras. , 3rd ed. Cambridge : Cambridge University Press .
   Google Scholar
• Kac , V. G. , Raina , A. Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras. Adv. Ser. Math. Phys., Vol. 2. World Sci.
   Google Scholar
• Patera , J. , Zassenhaus , H. ( 1991 ). The higher rank Virasoro algebras . Comm. Math. Phys. 136 : 1 – 14 .
   Web of Science ®Google Scholar
• Su , Y. ( 2003 ). Classification of Harish-Chandra modules over the higher rank Virasoro algebras . Comm. Math. Phys. 240 : 539 – 551 .
   Web of Science ®Google Scholar
• Su , Y. ( 2004 ). Quasifinite representations of a Lie algebra of Block type . J. Algebra 276 : 117 – 128 .
   Web of Science ®Google Scholar
• Su , Y. ( 2004 ). Quasifinite representations of a family of Lie algebras of Block type . J. Pure Appl. Algebra 192 : 293 – 305 .
   Web of Science ®Google Scholar
• Su , Y. , Xu , X. , Zhang , H. ( 2000 ). Derivation-simple algebras and the structures of Lie algebras of Witt type . J. Algebra 233 : 642 – 662 .
   Web of Science ®Google Scholar
• Su , Y. , Zhao , K. ( 2002 ). Second cohomology group of generalized Witt type Lie algebras and certain representations . Comm. Algebra 30 : 3285 – 3309 .
   Web of Science ®Google Scholar
• Su , Y. , Zhao , K. ( 2002 ). Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series . J. Algebra 252 : 1 – 19 .
   Web of Science ®Google Scholar
• Wu , H. , Wang , S. , Yue , X. ( 2013 ). Structures of generalized loop Virasoro algebras . Comm. Algebra 42 : 1545 – 1558 .
   Web of Science ®Google Scholar
• Xu , X. ( 2000 ). New generalized simple Lie algebras of Cartan type . J. Algebra 224 : 23 – 58 .
   Web of Science ®Google Scholar
• Zhang , W. , Dong , C. ( 2009 ). W-algebra W(2,2) and the vertex operator algebra L(1/2, 0) ⊗ L(1/2, 0) . Comm. Math. Phys. 285 : 991 – 1004 .
   Web of Science ®Google Scholar
• Communicated by K. Misra.
   Google Scholar