3 papers
math.QA2002
Affine Analogue of Jack's Polynomials for \hat{sl}_2
Yuji Hara
Affine analogue of Jack's polynomials introduced by Etingof and Kirillov Jr. is studied for the case of \hat{sl}_2. Using the Wakimoto representation, we give an integral formula o…
math.QA2001
BRST-resolution for Principally Graded Wakimoto module of {\hat sl_2}
Y. Hara, N. Jing, K. Misra
BRST-resolution is studied for the principally graded Wakimoto module of {\hat sl_2} recently found in math.QA/0005203. The submodule structure is completely determined and irreduc…
math.QA2000
On Lepowsky-Wilson's Z-algebra
Y. Hara, M. Jimbo, H. Konno +2
We show that the deformed Virasoro algebra specializes in a certain limit to Lepowsky-Wilson's Z-algebra. This leads to a free field realization of the affine Lie algebra \hat{sl_2…