Differential Calculus on the Quantum Superspace and Deformation of Phase Space
نویسندگان
چکیده
We investigate non-commutative differential calculus on the supersymmetric version of quantum space in which quatum supergroups are realized. Multiparametric quantum deformation of the general linear supergroup, GLq(m|n), is studied and the explicit form for the R̂-matrix is presented. We apply these results to the quantum phase-space construction of OSpq(2n|2m) and calculate their R̂-matrices. ∗ Fellow of the Japan Society for the Promotion of Sience. Work partially supported by the Grantin-Aid for Scientific Research from the Ministry of Education, Science and Culture (# 030083) Work partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (# 04245221)
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