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    • 安广宇,苏栋,秦飞浪.五角投影格代数上 Lie n - 导子的标准型[J].数学年刊A辑,2025,46(3):265~280
    五角投影格代数上 Lie n - 导子的标准型
    Standard Form of Lie n-Derivations on Pentagon Projection Lattice Algebras
    Received:November 23, 2024  Revised:May 21, 2025
    DOI：
    中文关键词:  五角投影格代数，Lie n - 导子，标准型
    英文关键词:Pentagon projection lattice algebra, Lie n -derivation, Standard form
    基金项目:
    Author NameAffiliation
    AN Guangyu、 Department of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, China 
    SU Dong、 Department of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, China 
    QIN Feilang Department of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, China 
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    中文摘要:
          假设 H 是无限维 Hilbert 空间， L 是 H 上的五角投影格，Alg L 是对应的五角投影格代数，作者证明了 Alg L 到 B(H) 的每个 Lie n - 导子都是标准的，并且给出了一个关于 Kadison-Singer 代数的应用。
    英文摘要:
          Let H be an infinite dimensional Hilbert space, L be a pentagon projection lattice on H , and Alg L be the pentagon projection lattice algebra. In this paper, the authors prove that every Lie n -derivation from Alg L into B(H) is standard, and give an application of Kadison-Singer algebras.
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