Virasoro代数同构的不可约表示

ISOMORPHIC IRREDUCIBLE REPRESENTATIONS OF THE VIRASORO ALGEBRA

Ｖｉｒａｓｏｒｏ代数同构的不可约表示赵开明（中国科学院系统科学研究所，北京１０００８０）１９９０年１２月４日收到，１９９３年４月２８日收到修改稿．Ｖｉｒａｓｏｒｏ代数的表示理论在数学和物理的许多分支中起着重要的作用，例如在仿射Ｌｉｅ代数理论［１，２］...

ABSTRACTIn this paper, the isomorphic relations between the irreducible representationsV;,B of the Virasoro algebra are studied. The following result is obtained: V:,e isisomorphic to , if and only if one of the following conditions is satisfied:i)a —— a' Z, ＝;ｉｉ)a —— a' Z,g = 0,g' ~ 1.In particular, V0,0 = V0,1.