Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 612-617.

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Simplicities and Automorphisms of a Special Infinite Dimensional Lie Algebra

  

  1. 1. Department of Mathematics, Hunan Institute of Science and Technology2. Department of Mathematics and Computer Science, Jishou University
  • Received:2012-07-17 Online:2013-12-30 Published:2023-02-20
  • About author:YU De-min(1975-), male, native of Yueyang, Hunan, an associate professor of Hunan Institute of Science and Technology, Ph.D., engages in Lie algebra; LI Ai-hua(1975-), male, native of Jishou, Hunan, an associate professor of Jishou university, Ph.D., engages in Lie algebra.
  • Supported by:
    Supported by the National Department of Hunan Province(10JJ6013)

Abstract: In this paper, a special innite dimensional Lie algebra is studied. The innite dimensional Lie algebra appears in the elds of conformal theory, mathematical physics, statistic mechanics and Hamilton operator. The innite dimensional Lie algebras is popularized Virasoro-like Lie algebra. Isomorphisms, homomorphisms, ideals of the innite dimensional Lie algebra are studied.

Key words: ideal, isomorphism, homomorphism

CLC Number: