In this paper, we find the orders of the Renner monoids for J-irreducible monoids K*p(G), where G is a simple algebraic group over an algebraically closed field K, and p : G → GL(V) is the irreducible represent...In this paper, we find the orders of the Renner monoids for J-irreducible monoids K*p(G), where G is a simple algebraic group over an algebraically closed field K, and p : G → GL(V) is the irreducible representation associated with the highest root.展开更多
基金Supported by the National Natural Science Foundation of China(20171016,20271019)the Science Foundation for Distigunatued Young Scholar of Heilongjiang University(J200106)the Doctoral Start-up Foundation of Heilongjiang Unviersity
基金the National Natural Science Foundation of China (No. 10471116).
文摘In this paper, we find the orders of the Renner monoids for J-irreducible monoids K*p(G), where G is a simple algebraic group over an algebraically closed field K, and p : G → GL(V) is the irreducible representation associated with the highest root.