2-COCYCLES ON THE LIE ALGEBRAS OF GENERALIZED DIFFERENTIAL OPERATORS

REFERENCES

• Berman , S. 1979 . On the Low Dimensional Cohomology of Some Infinite Dimensional Simple Lie Algebras . Pac. J. Math. , 83 : 27 – 36 .
   Web of Science ®Google Scholar
• Frenkel , I.B. 1981 . Two Constructions of affine Lie Algebra Representations and Boson-fermion Correspondence in Quantum Field Theory . J. Funct. Anal. , 44 : 259 – 327 .
   Web of Science ®Google Scholar
• Gelfand , I.M. and Fuks , D.B. 1968 . The Cohomology of the Lie Algebra of the Vector Fields in a Circle . Funct. Anal. Appl. , 2 : 342 – 343 .
   Google Scholar
• Kac , V.G. 1987 . Lectures on Infinite Wedge Representation and Soliton Equations . Shuxue Jinzhan (Chinese Adv. in Math.) , 16 : 343 – 376 .
   Google Scholar
• Kac , V.G. 1990 . Infinite Dimensional Lie Algebras , 3 Combridge Univ. Press .
   Google Scholar
• Kac , V.G. , Kazhdan , D.A. , Lepowsky , J. and Wilson , R.L. 1981 . Realization of the Basic Representation on the Euclidean Lie Algebras . Adv. in Math. , 42 : 83 – 112 .
   Web of Science ®Google Scholar
• Kac , V.G. and Peterson , D.H. 1981 . Spin and Wedge Representations of Infinite Dimensional Lie Algebras and Groups . Proc. Nat. Acad. Sci. U.S.A. , 78 : 3308 – 3312 .
   PubMed Web of Science ®Google Scholar
• Lepowsky , J. and Wilson , R.L. 1987 . Constructions of the Affine Lie Algebra . Comm. Math. Phys. , 62 : 43 – 53 .
   Web of Science ®Google Scholar
• Li , W. 1989 . 2-Cocycles on the Algebra of Differential Operators . J. Alg. , 122 : 64 – 80 .
   Web of Science ®Google Scholar
• Li , W. and Wilson , R.L. 1998 . Central Extensions of Some Lie Algebras . Proc. Amer. Math. Soc. , 126 : 2569 – 2577 .
   Web of Science ®Google Scholar
• Passman , D.P. 1998 . Simple Lie Algebras of Witt Type . J. Alg. , 206 : 682 – 692 .
   Web of Science ®Google Scholar
• Patera , J. and Zassenhaus , H. 1991 . The Higher Rank Virasoro Algebras . Comm. Math. Phys. , 136 : 1 – 14 .
   Web of Science ®Google Scholar
• Su , Y. 1989 . On the Low Dimensional Cohomology of Kac-Moody Algebras with Coefficients in the Complex Field . Shuxue Jinzhan (Chinese Adv. in Math.) , 18 : 346 – 351 .
   Google Scholar
• Su , Y. 1990 . 2-Cocycles on the Lie Algebras of All Differential Operators of Several Indeterminates . (Chinese) Northeastern Math. J. , 6 : 365 – 368 .
   Google Scholar
• Su , Y. 1993 . A Classification of Indecomposable sl2(C)-modules and a Conjecture of Kac on Irreducible Modules over the Virasoro Algebra . J. Alg. , 161 : 33 – 46 .
   Web of Science ®Google Scholar
• Su , Y. 1994 . Harish-Chandra Modules of the Intermediate Series over the High Rank Virasoro Algebras and High Rank Super-Virasoro Algebras . J. Math. Phys. , 35 : 2013 – 2023 .
   Web of Science ®Google Scholar
• Su , Y. and Zhao , K. Generalized Virasoro and Super-Virasoro Algebras and Modules of the Intermediate Series . To appear
   Google Scholar
• Su , Y. and Zhao , K. Second Cohomology Group of Generalized Witt Type Lie Algebras and Certain Representations . To appear
   Google Scholar
• Su , Y. and Zhao , K. Simple Algebras of Weyl Types . Science in China A , In press
   Google Scholar
• Su , Y. and Zhao , K. Isomorphism Classes and Automorphism Groups of Algebras of Weyl Type . Science in China A , In press
   Google Scholar
• Xu , X. 2000 . New Generalized Simple Lie Algebras of Cartan Type over a Field with Characteristic 0 . J. Alg. , 224 : 23 – 58 .
   Web of Science ®Google Scholar