Supported by the National Natural Science Foundation (10471034) ;Supported by the Provincial Foundationof Outstanding Young Scholars of Henan (0512000100) ;Supported by the Foundation of Henan University (05YBZR013)
supported in part by the National Natural Science Foundation of China(Grant No.10471034);Famous Youth Foundation of Henan Province(Grant No.0512000100);the Natural Science Foundation of Educational Committee of Henan Province(Grant No.2000110010).
In this paper, we define a P-twisted affine Lie algebra, and construct its realizations by twisted vertex operators.