• DocumentCode
    3026339
  • Title

    The Bilinear Form of a Class of Lie Algebra

  • Author

    Yanyan, Zhang ; Jianbo, Liu

  • Author_Institution
    Dept. of Electron. Inf., Northeastern Univ. at Qinhuangdao, Qinhuangdao, China
  • fYear
    2010
  • fDate
    23-24 Oct. 2010
  • Firstpage
    104
  • Lastpage
    107
  • Abstract
    In this article, a class of Lie algebra G(A) are introduced, which associated to generalized Cartan matrices A and have much simpler structure than Kac-Moody algebras, We prove that G(A) has a non-degenerate invariant symmetric bilinear form if and only if A is symmetrizable.
  • Keywords
    Lie algebras; matrix algebra; Kac Moody algebra; Lie algebra; generalized Cartan matrix; nondegenerate invariant symmetric bilinear form; Cryptography; Electronic mail; Knowledge engineering; Matrices; Presses; Symmetric matrices; Kac-Moody algebra; Lie algebra; bilinear form;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
  • Conference_Location
    Qinhuangdao
  • Print_ISBN
    978-1-4244-9595-5
  • Type

    conf

  • DOI
    10.1109/CDEE.2010.30
  • Filename
    5759361
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3026339