Frontiers of Mathematics in China >
Low-dimensional cohomology of q-deformed Heisenberg-Virasoro algebra of Hom-type
Received date: 19 Jan 2010
Accepted date: 12 May 2010
Published date: 05 Dec 2010
Copyright
Hom-Lie algebras were introduced by J. Hartwig, D. Larsson, and S. Silvestrov as a generalized Lie algebra. When studying the homology and cohomology theory of Hom-Lie algebras, the authors find that the lowdimensional cohomology theory of Hom-Lie algebras is not well studied because of the Hom-Jacobi identity. In this paper, the authors compute the first and second cohomology groups of the q-deformed Heisenberg-Virasoro algebra of Hom-type, which will be useful to build the low-dimensional cohomology theory of Hom-Lie algebras.
Yongsheng CHENG , Hengyun YANG . Low-dimensional cohomology of q-deformed Heisenberg-Virasoro algebra of Hom-type[J]. Frontiers of Mathematics in China, 2010 , 5(4) : 607 -622 . DOI: 10.1007/s11464-010-0063-z
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