Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras. 【摘要】： 正 It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other.
Further, we can also define if a Coset graph is a graph representation, we note it GR for short, that is, the relevant group is exactly equal to the full automorphism group of the Coset graph. 甚至，我们也可以定义一个陪集图是一个图表示，简称GR，即相应的群是否恰等于它的这个陪集图的全自同构群。
In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group of the object.