科研之友
微信
新浪微博
Facebook
分享链接
摘要
We establish a new Howe duality between a pair of quantum queer superalgebras (Uq-1(q(n)), U-q(q(m))). The key ingredient is the construction of a non-commutative analogue A(q)(q(n), q(m)) of the symmetric superalgebra S(C-mn vertical bar mn) with the use of quantum coordinate queer superalgebra. It turns out that this superalgebra is equipped with a Uq-1(q(n))circle times U-q(q(m))-supermodule structure that admits a multiplicity-free decomposition. We also show that the (Uq-1(q(n)), U-q(q(m)))-Howe duality implies the Sergeev-Olshanski duality.
