Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 26 (2016), No. 4, 1187--1197Copyright Heldermann Verlag 2016 Cohomology of the Heisenberg-Virasoro 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 [Abstract-pdf] \def\C{\mathbb{C}} We compute the cohomology groups of the Heisenberg-Virasoro 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: Heisenberg-Virasoro conformal algebra, conformal module, cohomology. MSC: 17B65, 17B68 [ Fulltext-pdf  (286  KB)] for subscribers only.