Classification of Z^2-graded modules of the intermediate series over a Lie algebra of Block type

Xiaoqing Yue, Yucai Su

Let L be the Lie algebra of Block type over a field F of characteristic zero, defined with basis {L_{i,j} | i,j\in Z} and relations [L_{i,j},L_{k,l}]=((j+1)k-(l+1)i)L_{i+k,j+l}. Th…