论文标题
Brauer代数的同源
The homology of the Brauer algebras
论文作者
论文摘要
本文研究了布劳尔代数的同源性，该代数被解释为适当的tor组，并表明它与对称组的同源性密切相关。我们的主要结果表明，当Brauer代数的定义参数可逆时，Brauer代数的同源性与对称群的同源性同构同构，并且当参数不可逆转时，这一点仍然存在于n范围内的范围。
This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor-groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when the parameter is not invertible, this isomorphism still holds in a range of degrees that increases with n.
