论文标题
PI量子基质代数的中心和自动形态
Centers and automorphisms of PI Quantum Matrix Algebras
论文作者
论文摘要
我们使用非公共判别性研究PI量子基质代数及其自动形态。在$ n = 2 $和$ n = 3 $的多参数案例中，我们表明当中心是多项式环时，所有自动形态均分级。在单参数案例中，我们确定了中心的介绍，并表明自动态群体没有分级，尽管在这种情况下能够描述某些自动型家族以及某些亚词法的家族。
We study PI quantum matrix algebras and their automorphisms using the noncommutative discriminant. In the multi-parameter case at $n=2$ and $n=3$, we show that all automorphisms are graded when the center is a polynomial ring. In the single-parameter case, we determine a presentation of the center and show that the automorphism group is not graded, though are able to describe certain families of automorphisms in this case, as well as those of certain subalgebras.
