TY - JOUR
T1 - Verma modules over generalized Virasoro algebras Vir[G]
AU - Hu, Jun
AU - Wang, Xian Dong
AU - Zhao, Kai Ming
PY - 2003/1/8
Y1 - 2003/1/8
N2 - Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module M̃(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules M̃(̇c, h) is completely determined.
AB - Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module M̃(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules M̃(̇c, h) is completely determined.
UR - http://www.scopus.com/inward/record.url?scp=0037425431&partnerID=8YFLogxK
U2 - 10.1016/S0022-4049(02)00173-1
DO - 10.1016/S0022-4049(02)00173-1
M3 - Article
AN - SCOPUS:0037425431
SN - 0022-4049
VL - 177
SP - 61
EP - 69
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 1
ER -