
Journal of Lie Theory 26 (2016), No. 4, 11871197 Copyright Heldermann Verlag 2016 Cohomology of the HeisenbergVirasoro Conformal Algebra Lamei Yuan Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, P. R. China lmyuan@hit.edu.cn Henan Wu School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China wuhenan@sxu.edu.cn [Abstractpdf] \def\C{\mathbb{C}} We compute the cohomology groups of the HeisenbergVirasoro conformal algebra with coefficients in its modules $\C,\C_a$ and $M_{\Delta,\alpha,\beta}$. In particular, we completely determine the cohomology groups with trivial coefficients both for the basic and reduced complexes. Keywords: HeisenbergVirasoro conformal algebra, conformal module, cohomology. MSC: 17B65, 17B68 [ Fulltextpdf (286 KB)] for subscribers only. 