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

Yucai Su

Department of Mathematics, Tongji University, Shanghai 200092, P. R. China

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and

Xiaoqing Yue

Department of Mathematics, Tongji University, Shanghai 200092, P. R. China

Corresponding author.

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https://doi.org/10.1142/S0219199715500595Cited by:2 (Source: Crossref)

Abstract

Let be the Lie algebra of Block type with basis {L_i,j | i,j ∈ ℤ} and relations [L_i,j, L_k,l] = ((j + 1)k - (l + 1)i)L_i+k,j+l. Since is ℤ²-graded, it is natural to study ℤ²-graded modules over . In this paper, ℤ²-graded -modules of the intermediate series are classified.

Keywords:

AMSC: 17B10, 17B65, 17B68

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