Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie superalgebras

Shun-Jen Cheng, R. B. Zhang

We study the Howe dualities involving the reductive dual pairs $(O(d),spo(2m|2n))$ and $(Sp(d),osp(2m|2n))$ on the (super)symmetric tensor of $\C^d\otimes\C^{m|n}$. We obtain compl…