摘要
We show that the denominator identity for ortho-symplectic Lie superalgebras 0sp（kl2n） is equiva- lent to the Littlewood＇s formula. Such an equivalence also implies the relation between the trivial module and generalized Verma modules for op（kl2n）. Furthermore, we discuss the harmonic representative elements of the Kostant＇s u-cohomology with trivial coefficients.
We show that the denominator identity for ortho-symplectic Lie superalgebrasosp(k|2n)is equivalent to the Littlewood’s formula.Such an equivalence also implies the relation between the trivial module and generalized Verma modules for osp(k|2n).Furthermore,we discuss the harmonic representative elements of the Kostant’s u-cohomology with trivial coefcients.
基金
supported by National Natural Science Foundation of China(Grant Nos.11101436 and 11101151)
the Fundamental Research Funds for the Central Universities
