Classification of Z2-graded modules of the intermediate series over a Lie algebra of Block type

Abstract

Let L be the Lie algebra of Block type over a field F of characteristic zero, defined with basis Li,j | i,j∈ Z and relations [Li,j,Lk,l]=((j+1)k-(l+1)i)Li+k,j+l. Then L is Z2-graded. In this paper, Z2-graded L-modules of the intermediate series are classified.

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