Star product and q-deformation of Grassmann and symmetric algebras

被引:0
|
作者
Mansour, M [1 ]
Akhoumach, K [1 ]
机构
[1] Fac Sci, Dept Phys, Phys Theor Lab, Rabat, Morocco
关键词
Field Theory; Vector Space; Elementary Particle; Quantum Field Theory; Space Versus;
D O I
10.1023/A:1026666005519
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review the relation between the star product on a Poisson-Lie group and the quantum Yang-Baxter equation. We define the q-deformed Grassmann and q-deformed symmetric algebras on a vector space V, and prove that a star product on a triangular (simple quasitriangular) Poisson-Lie group G determines a q-deformation of both the symmetric and Grassmann algebras over a dual of a g-module where g is the corresponding triangular (simple quasitriangular) Lie bialgebra of the Poisson-Lie group G.
引用
收藏
页码:2111 / 2119
页数:9
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