论文标题
紧凑型Schur-weyl二元性：真实的谎言组和循环brauer代数
Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra
论文作者
论文摘要
我们表明，作用在其标准表示的张量上的真实正交或符号基团的最大紧凑型亚组的中心者是与循环brauer代数同构的同构。我们还表明，对于符号组，这个循环组的brauer代数分为围墙的brauer代数。
We show that the centraliser of the maximal compact subgroup of the real orthogonal or symplectic groups acting on tensors of their standard representation are isomorphic to cyclotomic Brauer algebras. We also show that for the symplectic group this cyclotomic Brauer algebra splits into summands of walled Brauer algebras.
