标题： 一种新的分级李代数与para统计超对称性 显示英文标题

标题： A New Kind of Graded Lie Algebra and Parastatistical Supersymmetry

摘要： 本文把通常的$Z_2$分级李代数推广到一种新的形式，可称之为$Z_{2,2}$分级李代数。 结果表明，$Z_{2,2}$分级李代数与para统计之间存在密切联系，因此可以用$Z_{2,2}$来研究和分析para粒子系统的各种对称性和超对称性。 显示英文摘要

摘要： In this paper the usual $Z_2$ graded Lie algebra is generalized to a new form, which may be called $Z_{2,2}$ graded Lie algebra. It is shown that there exists close connections between the $Z_{2,2}$ graded Lie algebra and parastatistics, so the $Z_{2,2}$ can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems.