Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.

【摘】： 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，我们也可以定义个陪集图是个图表示，简称GR，即相应群是否恰等这个陪集图全自同构群。